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137,378

137,378 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.).

137,378 (one hundred thirty-seven thousand three hundred seventy-eight) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 149 × 461. Written other ways, in hexadecimal, 0x218A2.

Cube-Free Deficient Number Evil Number Recamán's Sequence Self Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
29
Digit product
3,528
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
873,731
Recamán's sequence
a(37,560) = 137,378
Square (n²)
18,872,714,884
Cube (n³)
2,592,695,825,334,152
Divisor count
8
σ(n) — sum of divisors
207,900
φ(n) — Euler's totient
68,080
Sum of prime factors
612

Primality

Prime factorization: 2 × 149 × 461

Nearest primes: 137,369 (−9) · 137,383 (+5)

Divisors & multiples

All divisors (8)
1 · 2 · 149 · 298 · 461 · 922 · 68689 (half) · 137378
Aliquot sum (sum of proper divisors): 70,522
Factor pairs (a × b = 137,378)
1 × 137378
2 × 68689
149 × 922
298 × 461
First multiples
137,378 · 274,756 (double) · 412,134 · 549,512 · 686,890 · 824,268 · 961,646 · 1,099,024 · 1,236,402 · 1,373,780

Sums & aliquot sequence

As a sum of two squares: 113² + 353² = 227² + 293²
As consecutive integers: 34,343 + 34,344 + 34,345 + 34,346 848 + 849 + … + 996 68 + 69 + … + 528
Aliquot sequence: 137,378 70,522 38,234 27,334 14,426 7,216 8,408 7,372 6,348 9,136 8,596 8,652 14,644 14,700 34,776 80,424 137,586 — unresolved within range

Continued fraction of √n

√137,378 = [370; (1, 1, 1, 4, 1, 1, 4, 6, 1, 42, 1, 2, 1, 9, 2, 2, 6, 6, 2, 2, 9, 1, 2, 1, …)]

Period length 35 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand three hundred seventy-eight
Ordinal
137378th
Binary
100001100010100010
Octal
414242
Hexadecimal
0x218A2
Base64
Ahii
One's complement
4,294,829,917 (32-bit)
Scientific notation
1.37378 × 10⁵
As a duration
137,378 s = 1 day, 14 hours, 9 minutes, 38 seconds
In other bases
ternary (3) 20222110002
quaternary (4) 201202202
quinary (5) 13344003
senary (6) 2540002
septenary (7) 1111343
nonary (9) 228402
undecimal (11) 9423a
duodecimal (12) 67602
tridecimal (13) 4a6b7
tetradecimal (14) 380ca
pentadecimal (15) 2aa88

As an angle

137,378° = 381 × 360° + 218°
218° ≈ 3.805 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζτοηʹ
Mayan (base 20)
𝋱·𝋣·𝋨·𝋲
Chinese
一十三萬七千三百七十八
Chinese (financial)
壹拾參萬柒仟參佰柒拾捌
In other modern scripts
Eastern Arabic ١٣٧٣٧٨ Devanagari १३७३७८ Bengali ১৩৭৩৭৮ Tamil ௧௩௭௩௭௮ Thai ๑๓๗๓๗๘ Tibetan ༡༣༧༣༧༨ Khmer ១៣៧៣៧៨ Lao ໑໓໗໓໗໘ Burmese ၁၃၇၃၇၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137378, here are decompositions:

  • 19 + 137359 = 137378
  • 37 + 137341 = 137378
  • 127 + 137251 = 137378
  • 139 + 137239 = 137378
  • 181 + 137197 = 137378
  • 349 + 137029 = 137378
  • 379 + 136999 = 137378
  • 499 + 136879 = 137378

Showing the first eight; more decompositions exist.

Unicode codepoint
𡢢
CJK Unified Ideograph-218A2
U+218A2
Other letter (Lo)

UTF-8 encoding: F0 A1 A2 A2 (4 bytes).

Hex color
#0218A2
RGB(2, 24, 162)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.162.

Address
0.2.24.162
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.162

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 137,378 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

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