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137,080

137,080 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.).

137,080 (one hundred thirty-seven thousand eighty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 23 × 149. Its proper divisors sum to 186,920, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21778.

Abundant Number Arithmetic Number Gapful Number Odious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
80,731
Square (n²)
18,790,926,400
Cube (n³)
2,575,860,190,912,000
Divisor count
32
σ(n) — sum of divisors
324,000
φ(n) — Euler's totient
52,096
Sum of prime factors
183

Primality

Prime factorization: 2 3 × 5 × 23 × 149

Nearest primes: 137,077 (−3) · 137,087 (+7)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 5 · 8 · 10 · 20 · 23 · 40 · 46 · 92 · 115 · 149 · 184 · 230 · 298 · 460 · 596 · 745 · 920 · 1192 · 1490 · 2980 · 3427 · 5960 · 6854 · 13708 · 17135 · 27416 · 34270 · 68540 (half) · 137080
Aliquot sum (sum of proper divisors): 186,920
Factor pairs (a × b = 137,080)
1 × 137080
2 × 68540
4 × 34270
5 × 27416
8 × 17135
10 × 13708
20 × 6854
23 × 5960
40 × 3427
46 × 2980
92 × 1490
115 × 1192
149 × 920
184 × 745
230 × 596
298 × 460
First multiples
137,080 · 274,160 (double) · 411,240 · 548,320 · 685,400 · 822,480 · 959,560 · 1,096,640 · 1,233,720 · 1,370,800

Sums & aliquot sequence

As consecutive integers: 27,414 + 27,415 + 27,416 + 27,417 + 27,418 8,560 + 8,561 + … + 8,575 5,949 + 5,950 + … + 5,971 1,674 + 1,675 + … + 1,753
Aliquot sequence: 137,080 186,920 233,740 330,740 395,020 434,564 403,924 302,950 275,138 146,494 75,986 37,996 42,644 42,700 64,932 108,444 180,964 — unresolved within range

Continued fraction of √n

√137,080 = [370; (4, 8, 1, 8, 4, 740)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand eighty
Ordinal
137080th
Binary
100001011101111000
Octal
413570
Hexadecimal
0x21778
Base64
Ahd4
One's complement
4,294,830,215 (32-bit)
Scientific notation
1.3708 × 10⁵
As a duration
137,080 s = 1 day, 14 hours, 4 minutes, 40 seconds
In other bases
ternary (3) 20222001001
quaternary (4) 201131320
quinary (5) 13341310
senary (6) 2534344
septenary (7) 1110436
nonary (9) 228031
undecimal (11) 93a99
duodecimal (12) 673b4
tridecimal (13) 4a518
tetradecimal (14) 37d56
pentadecimal (15) 2a93a

As an angle

137,080° = 380 × 360° + 280°
280° ≈ 4.887 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλζπʹ
Mayan (base 20)
𝋱·𝋢·𝋮·𝋠
Chinese
一十三萬七千零八十
Chinese (financial)
壹拾參萬柒仟零捌拾
In other modern scripts
Eastern Arabic ١٣٧٠٨٠ Devanagari १३७०८० Bengali ১৩৭০৮০ Tamil ௧௩௭௦௮௦ Thai ๑๓๗๐๘๐ Tibetan ༡༣༧༠༨༠ Khmer ១៣៧០៨០ Lao ໑໓໗໐໘໐ Burmese ၁၃၇၀၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137080, here are decompositions:

  • 3 + 137077 = 137080
  • 89 + 136991 = 137080
  • 101 + 136979 = 137080
  • 107 + 136973 = 137080
  • 131 + 136949 = 137080
  • 137 + 136943 = 137080
  • 191 + 136889 = 137080
  • 197 + 136883 = 137080

Showing the first eight; more decompositions exist.

Unicode codepoint
𡝸
CJK Unified Ideograph-21778
U+21778
Other letter (Lo)

UTF-8 encoding: F0 A1 9D B8 (4 bytes).

Hex color
#021778
RGB(2, 23, 120)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.120.

Address
0.2.23.120
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.23.120

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 137,080 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