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137,140

137,140 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.).

137,140 (one hundred thirty-seven thousand one hundred forty) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 6,857. Its proper divisors sum to 150,896, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x217B4.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
41,731
Square (n²)
18,807,379,600
Cube (n³)
2,579,244,038,344,000
Divisor count
12
σ(n) — sum of divisors
288,036
φ(n) — Euler's totient
54,848
Sum of prime factors
6,866

Primality

Prime factorization: 2 2 × 5 × 6857

Nearest primes: 137,131 (−9) · 137,143 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 5 · 10 · 20 · 6857 · 13714 · 27428 · 34285 · 68570 (half) · 137140
Aliquot sum (sum of proper divisors): 150,896
Factor pairs (a × b = 137,140)
1 × 137140
2 × 68570
4 × 34285
5 × 27428
10 × 13714
20 × 6857
First multiples
137,140 · 274,280 (double) · 411,420 · 548,560 · 685,700 · 822,840 · 959,980 · 1,097,120 · 1,234,260 · 1,371,400

Sums & aliquot sequence

As a sum of two squares: 102² + 356² = 132² + 346²
As consecutive integers: 27,426 + 27,427 + 27,428 + 27,429 + 27,430 17,139 + 17,140 + … + 17,146 3,409 + 3,410 + … + 3,448
Aliquot sequence: 137,140 150,896 141,496 135,704 118,756 108,044 81,040 107,564 80,680 100,940 148,036 166,460 256,900 381,948 636,804 1,339,443 1,054,157 — unresolved within range

Continued fraction of √n

√137,140 = [370; (3, 11, 1, 4, 4, 2, 5, 25, 2, 1, 4, 4, 3, 1, 1, 1, 3, 1, 1, 3, 14, 4, 7, 4, …)]

Representations

In words
one hundred thirty-seven thousand one hundred forty
Ordinal
137140th
Binary
100001011110110100
Octal
413664
Hexadecimal
0x217B4
Base64
Ahe0
One's complement
4,294,830,155 (32-bit)
Scientific notation
1.3714 × 10⁵
As a duration
137,140 s = 1 day, 14 hours, 5 minutes, 40 seconds
In other bases
ternary (3) 20222010021
quaternary (4) 201132310
quinary (5) 13342030
senary (6) 2534524
septenary (7) 1110553
nonary (9) 228107
undecimal (11) 94043
duodecimal (12) 67444
tridecimal (13) 4a563
tetradecimal (14) 37d9a
pentadecimal (15) 2a97a

As an angle

137,140° = 380 × 360° + 340°
340° ≈ 5.934 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλζρμʹ
Mayan (base 20)
𝋱·𝋢·𝋱·𝋠
Chinese
一十三萬七千一百四十
Chinese (financial)
壹拾參萬柒仟壹佰肆拾
In other modern scripts
Eastern Arabic ١٣٧١٤٠ Devanagari १३७१४० Bengali ১৩৭১৪০ Tamil ௧௩௭௧௪௦ Thai ๑๓๗๑๔๐ Tibetan ༡༣༧༡༤༠ Khmer ១៣៧១៤០ Lao ໑໓໗໑໔໐ Burmese ၁၃၇၁၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137140, here are decompositions:

  • 23 + 137117 = 137140
  • 53 + 137087 = 137140
  • 149 + 136991 = 137140
  • 167 + 136973 = 137140
  • 191 + 136949 = 137140
  • 197 + 136943 = 137140
  • 251 + 136889 = 137140
  • 257 + 136883 = 137140

Showing the first eight; more decompositions exist.

Unicode codepoint
𡞴
CJK Unified Ideograph-217B4
U+217B4
Other letter (Lo)

UTF-8 encoding: F0 A1 9E B4 (4 bytes).

Hex color
#0217B4
RGB(2, 23, 180)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.180.

Address
0.2.23.180
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.23.180

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 137,140 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 137140 first appears in π at position 510,741 of the decimal expansion (the 510,741ordinal-suffix:st 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