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138,137

138,137 is a composite number, odd.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

138,137 (one hundred thirty-eight thousand one hundred thirty-seven) is an odd 6-digit number. It is a composite number with 4 divisors, and factors as 107 × 1,291. Written other ways, in hexadecimal, 0x21B99.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Recamán's Sequence Semiprime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
504
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
731,831
Recamán's sequence
a(492,553) = 138,137
Square (n²)
19,081,830,769
Cube (n³)
2,635,906,856,937,353
Divisor count
4
σ(n) — sum of divisors
139,536
φ(n) — Euler's totient
136,740
Sum of prime factors
1,398

Primality

Prime factorization: 107 × 1291

Nearest primes: 138,113 (−24) · 138,139 (+2)

Divisors & multiples

All divisors (4)
1 · 107 · 1291 · 138137
Aliquot sum (sum of proper divisors): 1,399
Factor pairs (a × b = 138,137)
1 × 138137
107 × 1291
First multiples
138,137 · 276,274 (double) · 414,411 · 552,548 · 690,685 · 828,822 · 966,959 · 1,105,096 · 1,243,233 · 1,381,370

Sums & aliquot sequence

As consecutive integers: 69,068 + 69,069 1,238 + 1,239 + … + 1,344 539 + 540 + … + 752
Aliquot sequence: 138,137 1,399 1 0 — terminates at zero

Continued fraction of √n

√138,137 = [371; (1, 2, 92, 1, 1, 2, 2, 46, 23, 1, 22, 3, 1, 2, 4, 11, 2, 1, 1, 2, 6, 1, 4, 1, …)]

Representations

In words
one hundred thirty-eight thousand one hundred thirty-seven
Ordinal
138137th
Binary
100001101110011001
Octal
415631
Hexadecimal
0x21B99
Base64
AhuZ
One's complement
4,294,829,158 (32-bit)
Scientific notation
1.38137 × 10⁵
As a duration
138,137 s = 1 day, 14 hours, 22 minutes, 17 seconds
In other bases
ternary (3) 21000111012
quaternary (4) 201232121
quinary (5) 13410022
senary (6) 2543305
septenary (7) 1113506
nonary (9) 230435
undecimal (11) 9486a
duodecimal (12) 67b35
tridecimal (13) 4ab4c
tetradecimal (14) 384ad
pentadecimal (15) 2ade2

As an angle

138,137° = 383 × 360° + 257°
257° ≈ 4.485 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληρλζʹ
Mayan (base 20)
𝋱·𝋥·𝋦·𝋱
Chinese
一十三萬八千一百三十七
Chinese (financial)
壹拾參萬捌仟壹佰參拾柒
In other modern scripts
Eastern Arabic ١٣٨١٣٧ Devanagari १३८१३७ Bengali ১৩৮১৩৭ Tamil ௧௩௮௧௩௭ Thai ๑๓๘๑๓๗ Tibetan ༡༣༨༡༣༧ Khmer ១៣៨១៣៧ Lao ໑໓໘໑໓໗ Burmese ၁၃၈၁၃၇

Also seen as

Unicode codepoint
𡮙
CJK Unified Ideograph-21B99
U+21B99
Other letter (Lo)

UTF-8 encoding: F0 A1 AE 99 (4 bytes).

Hex color
#021B99
RGB(2, 27, 153)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.153.

Address
0.2.27.153
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.153

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 138,137 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 138137 first appears in π at position 790,037 of the decimal expansion (the 790,037ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.