Recognised as Number
137,125
- Positive
- Odd
- Composite
- 6 digits
137,125 is an odd 6-digit integer and a composite number. It has 8 divisors and a digital root of 1.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityComposite
Absolute value137,125
Digit count6
Digit sum19
Digit product210
Multiplicative persistence2times the digit product can be taken before one digit is left
Digital root1repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation5^3 × 1,097
Distinct prime factors25, 1,097
Number of divisors8
Sum of divisors σ(n)171,288
Aliquot sum34,163sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)109,600integers below n that share no factor with it
Carmichael function λ(n)27,400the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 109,600
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 5, 25, 125, 1,097, 5,485, 27,425, 137,1258 in total
Arithmetic
Representations
Decimal137,125
Binary10000101111010010118 bits
Octal413645
Hexadecimal217A5
Base 362XT1
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsone hundred and thirty-seven thousand, one hundred and twenty-five
Ordinalone hundred and thirty-seven thousand, one hundred and twenty-fifth
Scientific notation1.37125 × 10^5
Engineering notation137.125 × 10^3
In other bases
Ternary20222002201base 3; the most digit-efficient integer base after e: 11 digits
Quinary13342000base 5; one hand: 8 digits
Septenary1110532base 7: 7 digits
Nonary228081base 9; each digit is two ternary digits: 6 digits
Duodecimal67431base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 5 digits
Vigesimalh2g5base 20; hands and feet, and the Mayan and Yoruba systems: 4 digits
Sexagesimal38:5:25base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternary1T100T010T01digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1100110100011100101base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
00000000000000100001011110100101
Bit length18 bitsto write the magnitude
Set bits9the population count, or Hamming weight
Zero bits9within that length
Bit parityodd9 set bits, so odd; not the same as the number itself being odd
Highest set bitbit 17worth 131,072
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes302 17 a5
Gray code110001110001110111n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit00000000000000100001011110100101
64-bit0000000000000000000000000000000000000000000000100001011110100101
One's complement11111111111111011110100001011010at 32 bits, every bit flipped
Bits reversed10100101111010000100000000000000at 32 bits
Rotated left by 100000000000001000010111101001010at 32 bits, wrapping
Shifted left by 11000010111101001010= 274,250, no wrap
Shifted right by 110000101111010010= 68,562, discarding the low bit
These bits as a double6.77487517 × 10^-319≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
137,125 to the power 218,803,265,625
137,125 to the power 32,578,397,798,828,125
137,125 to the power 4353,562,798,164,306,640,625
137,125 to the power 548,482,298,698,280,548,095,703,125
First ten multiples137,125, 274,250, 411,375, 548,500, 685,625, 822,750, 959,875, 1,097,000, 1,234,125, 1,371,250
Powers of twoBetween 2^17 (131,072) and 2^18 (262,144)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 1
Divisible by 4No, remainder 1
Divisible by 5Yes
Divisible by 6No, remainder 1
Divisible by 7No, remainder 2
Divisible by 8No, remainder 5
Divisible by 9No, remainder 1
Divisible by 10No, remainder 5
Divisible by 11No, remainder 10
Divisible by 12No, remainder 1
Divisible by 100No, remainder 25
Collatz (3n + 1) trajectory
Steps to reach 156the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps137,125 → 411,376 → 205,688 → 102,844 → 51,422 → 25,711 → 77,134 → 38,567 → 115,702 → 57,851 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage13,712,500%
137,125% as a decimal1,371.25
137,125% of 100137,125
137,125% of 1,0001,371,250
As a fraction of 100137,125/100
Read another way
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Derived from 137,125
Also reads as
#137125 (colour)
- #137125
- Green
- Dark
- Nearest: Dark green
#137125 is a green with RGB values 19, 113, 37 and HSL 131°, 71%, 26%. It is a dark colour, so white text on it reaches 6.1:1 contrast (AA for normal text). The nearest named colour is Dark green.
Colour values
#137125#137125
HEX#137125
RGBrgb(19, 113, 37)
RGB (0–1)0.0745, 0.4431, 0.1451
RGB percentages7.5%, 44.3%, 14.5%
HSLhsl(131.5, 71.2%, 25.9%)
HSV / HSBhsv(131.5, 83.2%, 44.3%)
CMYK83.2%, 0%, 67.3%, 55.7%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer1,274,149
CSS custom property--colour: #137125;
Brightness & contrast
Relative luminance0.12082WCAG 2.x, 0 is black and 1 is white
Perceived brightness88.1 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 6.15:1
Contrast with white6.15:1WCAG normal text: AA
Contrast with black3.42:1WCAG normal text: Fail
Greyscale equivalent#585858
Inverted#EC8EDA
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text6.15:1WCAG large text: AAA
Contrast with black, large text3.42:1WCAG large text: AA
Named colours
Hue familygreen
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#71135F
Analogous#307113, #137154
Triadic#251371, #712513
Split complementary#541371, #711330
Tetradic#133071, #71135F, #715413
Tints, shades & saturation
Channel breakdown
R19
G113
B37
Red19 (7.5%)
Green113 (44.3%)
Blue37 (14.5%)
Hue131.49°
Saturation (HSL)71.21%
Lightness25.88%
Dominant channelGreen
Hex per channelR 13 · G 71 · B 25
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Harmonies
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