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138,132

138,132 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.).

138,132 (one hundred thirty-eight thousand one hundred thirty-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3³ × 1,279. Its proper divisors sum to 220,268, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21B94.

Abundant Number Evil Number Gapful Number Harshad / Niven Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
144
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
231,831
Recamán's sequence
a(492,563) = 138,132
Square (n²)
19,080,449,424
Cube (n³)
2,635,620,639,835,968
Divisor count
24
σ(n) — sum of divisors
358,400
φ(n) — Euler's totient
46,008
Sum of prime factors
1,292

Primality

Prime factorization: 2 2 × 3 3 × 1279

Nearest primes: 138,113 (−19) · 138,139 (+7)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 27 · 36 · 54 · 108 · 1279 · 2558 · 3837 · 5116 · 7674 · 11511 · 15348 · 23022 · 34533 · 46044 · 69066 (half) · 138132
Aliquot sum (sum of proper divisors): 220,268
Factor pairs (a × b = 138,132)
1 × 138132
2 × 69066
3 × 46044
4 × 34533
6 × 23022
9 × 15348
12 × 11511
18 × 7674
27 × 5116
36 × 3837
54 × 2558
108 × 1279
First multiples
138,132 · 276,264 (double) · 414,396 · 552,528 · 690,660 · 828,792 · 966,924 · 1,105,056 · 1,243,188 · 1,381,320

Sums & aliquot sequence

As consecutive integers: 46,043 + 46,044 + 46,045 17,263 + 17,264 + … + 17,270 15,344 + 15,345 + … + 15,352 5,744 + 5,745 + … + 5,767
Aliquot sequence: 138,132 220,268 172,852 134,028 238,932 365,126 214,834 109,886 83,650 94,910 75,946 53,078 26,542 15,074 7,540 10,100 12,034 — unresolved within range

Continued fraction of √n

√138,132 = [371; (1, 1, 1, 19, 2, 2, 1, 3, 7, 4, 5, 2, 3, 4, 1, 6, 1, 5, 1, 3, 3, 1, 26, 1, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand one hundred thirty-two
Ordinal
138132nd
Binary
100001101110010100
Octal
415624
Hexadecimal
0x21B94
Base64
AhuU
One's complement
4,294,829,163 (32-bit)
Scientific notation
1.38132 × 10⁵
As a duration
138,132 s = 1 day, 14 hours, 22 minutes, 12 seconds
In other bases
ternary (3) 21000111000
quaternary (4) 201232110
quinary (5) 13410012
senary (6) 2543300
septenary (7) 1113501
nonary (9) 230430
undecimal (11) 94865
duodecimal (12) 67b30
tridecimal (13) 4ab47
tetradecimal (14) 384a8
pentadecimal (15) 2addc

As an angle

138,132° = 383 × 360° + 252°
252° ≈ 4.398 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρληρλβʹ
Mayan (base 20)
𝋱·𝋥·𝋦·𝋬
Chinese
一十三萬八千一百三十二
Chinese (financial)
壹拾參萬捌仟壹佰參拾貳
In other modern scripts
Eastern Arabic ١٣٨١٣٢ Devanagari १३८१३२ Bengali ১৩৮১৩২ Tamil ௧௩௮௧௩௨ Thai ๑๓๘๑๓๒ Tibetan ༡༣༨༡༣༢ Khmer ១៣៨១៣២ Lao ໑໓໘໑໓໒ Burmese ၁၃၈၁၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138132, here are decompositions:

  • 19 + 138113 = 138132
  • 31 + 138101 = 138132
  • 53 + 138079 = 138132
  • 61 + 138071 = 138132
  • 73 + 138059 = 138132
  • 79 + 138053 = 138132
  • 139 + 137993 = 138132
  • 149 + 137983 = 138132

Showing the first eight; more decompositions exist.

Unicode codepoint
𡮔
CJK Unified Ideograph-21B94
U+21B94
Other letter (Lo)

UTF-8 encoding: F0 A1 AE 94 (4 bytes).

Hex color
#021B94
RGB(2, 27, 148)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.148.

Address
0.2.27.148
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.148

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 138,132 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.