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135,108

135,108 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.).

135,108 (one hundred thirty-five thousand one hundred eight) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3⁵ × 139. Its proper divisors sum to 221,612, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20FC4.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
801,531
Recamán's sequence
a(36,448) = 135,108
Square (n²)
18,254,171,664
Cube (n³)
2,466,284,625,179,712
Divisor count
36
σ(n) — sum of divisors
356,720
φ(n) — Euler's totient
44,712
Sum of prime factors
158

Primality

Prime factorization: 2 2 × 3 5 × 139

Nearest primes: 135,101 (−7) · 135,119 (+11)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 27 · 36 · 54 · 81 · 108 · 139 · 162 · 243 · 278 · 324 · 417 · 486 · 556 · 834 · 972 · 1251 · 1668 · 2502 · 3753 · 5004 · 7506 · 11259 · 15012 · 22518 · 33777 · 45036 · 67554 (half) · 135108
Aliquot sum (sum of proper divisors): 221,612
Factor pairs (a × b = 135,108)
1 × 135108
2 × 67554
3 × 45036
4 × 33777
6 × 22518
9 × 15012
12 × 11259
18 × 7506
27 × 5004
36 × 3753
54 × 2502
81 × 1668
108 × 1251
139 × 972
162 × 834
243 × 556
278 × 486
324 × 417
First multiples
135,108 · 270,216 (double) · 405,324 · 540,432 · 675,540 · 810,648 · 945,756 · 1,080,864 · 1,215,972 · 1,351,080

Sums & aliquot sequence

As consecutive integers: 45,035 + 45,036 + 45,037 16,885 + 16,886 + … + 16,892 15,008 + 15,009 + … + 15,016 5,618 + 5,619 + … + 5,641
Aliquot sequence: 135,108 221,612 189,148 141,868 115,172 86,386 46,094 26,746 14,438 7,222 4,154 2,374 1,190 1,402 704 820 944 — unresolved within range

Continued fraction of √n

√135,108 = [367; (1, 1, 3, 19, 1, 1, 2, 1, 1, 19, 3, 1, 1, 734)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-five thousand one hundred eight
Ordinal
135108th
Binary
100000111111000100
Octal
407704
Hexadecimal
0x20FC4
Base64
Ag/E
One's complement
4,294,832,187 (32-bit)
Scientific notation
1.35108 × 10⁵
As a duration
135,108 s = 1 day, 13 hours, 31 minutes, 48 seconds
In other bases
ternary (3) 20212100000
quaternary (4) 200333010
quinary (5) 13310413
senary (6) 2521300
septenary (7) 1101621
nonary (9) 225300
undecimal (11) 92566
duodecimal (12) 66230
tridecimal (13) 4965c
tetradecimal (14) 37348
pentadecimal (15) 2a073
Palindromic in base 8

As an angle

135,108° = 375 × 360° + 108°
108° ≈ 1.885 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλερηʹ
Mayan (base 20)
𝋰·𝋱·𝋯·𝋨
Chinese
一十三萬五千一百零八
Chinese (financial)
壹拾參萬伍仟壹佰零捌
In other modern scripts
Eastern Arabic ١٣٥١٠٨ Devanagari १३५१०८ Bengali ১৩৫১০৮ Tamil ௧௩௫௧௦௮ Thai ๑๓๕๑๐๘ Tibetan ༡༣༥༡༠༨ Khmer ១៣៥១០៨ Lao ໑໓໕໑໐໘ Burmese ၁၃၅၁၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135108, here are decompositions:

  • 7 + 135101 = 135108
  • 19 + 135089 = 135108
  • 31 + 135077 = 135108
  • 59 + 135049 = 135108
  • 79 + 135029 = 135108
  • 89 + 135019 = 135108
  • 101 + 135007 = 135108
  • 109 + 134999 = 135108

Showing the first eight; more decompositions exist.

Unicode codepoint
𠿄
CJK Unified Ideograph-20Fc4
U+20FC4
Other letter (Lo)

UTF-8 encoding: F0 A0 BF 84 (4 bytes).

Hex color
#020FC4
RGB(2, 15, 196)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.15.196.

Address
0.2.15.196
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.15.196

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 135,108 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°.