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135,138

135,138 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.).

135,138 (one hundred thirty-five thousand one hundred thirty-eight) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 101 × 223. Its proper divisors sum to 139,038, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20FE2.

Abundant Number Arithmetic Number Cube-Free Happy Number Odious Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
360
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
831,531
Square (n²)
18,262,279,044
Cube (n³)
2,467,927,865,448,072
Divisor count
16
σ(n) — sum of divisors
274,176
φ(n) — Euler's totient
44,400
Sum of prime factors
329

Primality

Prime factorization: 2 × 3 × 101 × 223

Nearest primes: 135,131 (−7) · 135,151 (+13)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 101 · 202 · 223 · 303 · 446 · 606 · 669 · 1338 · 22523 · 45046 · 67569 (half) · 135138
Aliquot sum (sum of proper divisors): 139,038
Factor pairs (a × b = 135,138)
1 × 135138
2 × 67569
3 × 45046
6 × 22523
101 × 1338
202 × 669
223 × 606
303 × 446
First multiples
135,138 · 270,276 (double) · 405,414 · 540,552 · 675,690 · 810,828 · 945,966 · 1,081,104 · 1,216,242 · 1,351,380

Sums & aliquot sequence

As consecutive integers: 45,045 + 45,046 + 45,047 33,783 + 33,784 + 33,785 + 33,786 11,256 + 11,257 + … + 11,267 1,288 + 1,289 + … + 1,388
Aliquot sequence: 135,138 139,038 139,050 247,830 401,898 533,814 533,826 649,278 958,770 1,685,070 2,866,050 5,794,110 12,469,122 14,547,348 22,344,780 40,220,772 55,220,028 — unresolved within range

Continued fraction of √n

√135,138 = [367; (1, 1, 1, 1, 2, 1, 31, 4, 10, 9, 3, 21, 1, 22, 1, 3, 5, 8, 1, 3, 2, 5, 1, 1, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-five thousand one hundred thirty-eight
Ordinal
135138th
Binary
100000111111100010
Octal
407742
Hexadecimal
0x20FE2
Base64
Ag/i
One's complement
4,294,832,157 (32-bit)
Scientific notation
1.35138 × 10⁵
As a duration
135,138 s = 1 day, 13 hours, 32 minutes, 18 seconds
In other bases
ternary (3) 20212101010
quaternary (4) 200333202
quinary (5) 13311023
senary (6) 2521350
septenary (7) 1101663
nonary (9) 225333
undecimal (11) 92593
duodecimal (12) 66256
tridecimal (13) 49683
tetradecimal (14) 3736a
pentadecimal (15) 2a093

As an angle

135,138° = 375 × 360° + 138°
138° ≈ 2.409 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλερληʹ
Mayan (base 20)
𝋰·𝋱·𝋰·𝋲
Chinese
一十三萬五千一百三十八
Chinese (financial)
壹拾參萬伍仟壹佰參拾捌
In other modern scripts
Eastern Arabic ١٣٥١٣٨ Devanagari १३५१३८ Bengali ১৩৫১৩৮ Tamil ௧௩௫௧௩௮ Thai ๑๓๕๑๓๘ Tibetan ༡༣༥༡༣༨ Khmer ១៣៥១៣៨ Lao ໑໓໕໑໓໘ Burmese ၁၃၅၁၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135138, here are decompositions:

  • 7 + 135131 = 135138
  • 19 + 135119 = 135138
  • 37 + 135101 = 135138
  • 61 + 135077 = 135138
  • 79 + 135059 = 135138
  • 89 + 135049 = 135138
  • 109 + 135029 = 135138
  • 131 + 135007 = 135138

Showing the first eight; more decompositions exist.

Unicode codepoint
𠿢
CJK Unified Ideograph-20Fe2
U+20FE2
Other letter (Lo)

UTF-8 encoding: F0 A0 BF A2 (4 bytes).

Hex color
#020FE2
RGB(2, 15, 226)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.15.226.

Address
0.2.15.226
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.15.226

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 135,138 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°.