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137,138

137,138 is a composite number, even.

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.).

137,138 (one hundred thirty-seven thousand one hundred thirty-eight) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 191 × 359. Written other ways, in hexadecimal, 0x217B2.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
504
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
831,731
Square (n²)
18,806,831,044
Cube (n³)
2,579,131,195,712,072
Divisor count
8
σ(n) — sum of divisors
207,360
φ(n) — Euler's totient
68,020
Sum of prime factors
552

Primality

Prime factorization: 2 × 191 × 359

Nearest primes: 137,131 (−7) · 137,143 (+5)

Divisors & multiples

All divisors (8)
1 · 2 · 191 · 359 · 382 · 718 · 68569 (half) · 137138
Aliquot sum (sum of proper divisors): 70,222
Factor pairs (a × b = 137,138)
1 × 137138
2 × 68569
191 × 718
359 × 382
First multiples
137,138 · 274,276 (double) · 411,414 · 548,552 · 685,690 · 822,828 · 959,966 · 1,097,104 · 1,234,242 · 1,371,380

Sums & aliquot sequence

As consecutive integers: 34,283 + 34,284 + 34,285 + 34,286 623 + 624 + … + 813 203 + 204 + … + 561
Aliquot sequence: 137,138 70,222 35,114 18,394 10,874 5,440 8,276 6,214 3,866 1,936 2,187 1,093 1 0 — terminates at zero

Continued fraction of √n

√137,138 = [370; (3, 9, 23, 1, 3, 1, 1, 1, 3, 1, 3, 1, 4, 2, 2, 1, 4, 1, 2, 3, 2, 14, 1, 2, …)]

Representations

In words
one hundred thirty-seven thousand one hundred thirty-eight
Ordinal
137138th
Binary
100001011110110010
Octal
413662
Hexadecimal
0x217B2
Base64
Ahey
One's complement
4,294,830,157 (32-bit)
Scientific notation
1.37138 × 10⁵
As a duration
137,138 s = 1 day, 14 hours, 5 minutes, 38 seconds
In other bases
ternary (3) 20222010012
quaternary (4) 201132302
quinary (5) 13342023
senary (6) 2534522
septenary (7) 1110551
nonary (9) 228105
undecimal (11) 94041
duodecimal (12) 67442
tridecimal (13) 4a561
tetradecimal (14) 37d98
pentadecimal (15) 2a978

As an angle

137,138° = 380 × 360° + 338°
338° ≈ 5.899 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζρληʹ
Mayan (base 20)
𝋱·𝋢·𝋰·𝋲
Chinese
一十三萬七千一百三十八
Chinese (financial)
壹拾參萬柒仟壹佰參拾捌
In other modern scripts
Eastern Arabic ١٣٧١٣٨ Devanagari १३७१३८ Bengali ১৩৭১৩৮ Tamil ௧௩௭௧௩௮ Thai ๑๓๗๑๓๘ Tibetan ༡༣༧༡༣༨ Khmer ១៣៧១៣៨ Lao ໑໓໗໑໓໘ Burmese ၁၃၇၁၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137138, here are decompositions:

  • 7 + 137131 = 137138
  • 19 + 137119 = 137138
  • 61 + 137077 = 137138
  • 109 + 137029 = 137138
  • 139 + 136999 = 137138
  • 151 + 136987 = 137138
  • 241 + 136897 = 137138
  • 277 + 136861 = 137138

Showing the first eight; more decompositions exist.

Unicode codepoint
𡞲
CJK Unified Ideograph-217B2
U+217B2
Other letter (Lo)

UTF-8 encoding: F0 A1 9E B2 (4 bytes).

Hex color
#0217B2
RGB(2, 23, 178)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.178.

Address
0.2.23.178
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.23.178

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 137,138 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 137138 first appears in π at position 392,036 of the decimal expansion (the 392,036ordinal-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.