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137,512

137,512 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.).

137,512 (one hundred thirty-seven thousand five hundred twelve) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2³ × 17,189. Written other ways, in hexadecimal, 0x21928.

Deficient Number Evil Number Recamán's Sequence Refactorable Number Self Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
210
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
215,731
Recamán's sequence
a(37,716) = 137,512
Square (n²)
18,909,550,144
Cube (n³)
2,600,290,059,401,728
Divisor count
8
σ(n) — sum of divisors
257,850
φ(n) — Euler's totient
68,752
Sum of prime factors
17,195

Primality

Prime factorization: 2 3 × 17189

Nearest primes: 137,507 (−5) · 137,519 (+7)

Divisors & multiples

All divisors (8)
1 · 2 · 4 · 8 · 17189 · 34378 · 68756 (half) · 137512
Aliquot sum (sum of proper divisors): 120,338
Factor pairs (a × b = 137,512)
1 × 137512
2 × 68756
4 × 34378
8 × 17189
First multiples
137,512 · 275,024 (double) · 412,536 · 550,048 · 687,560 · 825,072 · 962,584 · 1,100,096 · 1,237,608 · 1,375,120

Sums & aliquot sequence

As a sum of two squares: 226² + 294²
As consecutive integers: 8,587 + 8,588 + … + 8,602
Aliquot sequence: 137,512 120,338 60,172 62,720 112,042 84,950 73,150 105,410 88,126 45,434 22,720 32,144 42,070 44,618 31,894 17,354 8,680 — unresolved within range

Continued fraction of √n

√137,512 = [370; (1, 4, 1, 3, 105, 1, 2, 4, 1, 1, 5, 14, 1, 21, 1, 1, 5, 1, 2, 1, 1, 2, 2, 1, …)]

Representations

In words
one hundred thirty-seven thousand five hundred twelve
Ordinal
137512th
Binary
100001100100101000
Octal
414450
Hexadecimal
0x21928
Base64
Ahko
One's complement
4,294,829,783 (32-bit)
Scientific notation
1.37512 × 10⁵
As a duration
137,512 s = 1 day, 14 hours, 11 minutes, 52 seconds
In other bases
ternary (3) 20222122001
quaternary (4) 201210220
quinary (5) 13400022
senary (6) 2540344
septenary (7) 1111624
nonary (9) 228561
undecimal (11) 94351
duodecimal (12) 676b4
tridecimal (13) 4a78b
tetradecimal (14) 38184
pentadecimal (15) 2ab27

As an angle

137,512° = 381 × 360° + 352°
352° ≈ 6.144 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺
Greek (Milesian)
͵ρλζφιβʹ
Mayan (base 20)
𝋱·𝋣·𝋯·𝋬
Chinese
一十三萬七千五百一十二
Chinese (financial)
壹拾參萬柒仟伍佰壹拾貳
In other modern scripts
Eastern Arabic ١٣٧٥١٢ Devanagari १३७५१२ Bengali ১৩৭৫১২ Tamil ௧௩௭௫௧௨ Thai ๑๓๗๕๑๒ Tibetan ༡༣༧༥༡༢ Khmer ១៣៧៥១២ Lao ໑໓໗໕໑໒ Burmese ၁၃၇၅၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137512, here are decompositions:

  • 5 + 137507 = 137512
  • 29 + 137483 = 137512
  • 59 + 137453 = 137512
  • 113 + 137399 = 137512
  • 149 + 137363 = 137512
  • 173 + 137339 = 137512
  • 191 + 137321 = 137512
  • 233 + 137279 = 137512

Showing the first eight; more decompositions exist.

Unicode codepoint
𡤨
CJK Unified Ideograph-21928
U+21928
Other letter (Lo)

UTF-8 encoding: F0 A1 A4 A8 (4 bytes).

Hex color
#021928
RGB(2, 25, 40)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.40.

Address
0.2.25.40
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.25.40

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 137,512 and was likely granted around 1872.

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

Related reading