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135,136

135,136 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.).

135,136 (one hundred thirty-five thousand one hundred thirty-six) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 41 × 103. Its proper divisors sum to 140,048, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20FE0.

Abundant Number Arithmetic Number Evil Number Gapful Number Practical Number Semiperfect Number Smith Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
270
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
631,531
Square (n²)
18,261,738,496
Cube (n³)
2,467,818,293,395,456
Divisor count
24
σ(n) — sum of divisors
275,184
φ(n) — Euler's totient
65,280
Sum of prime factors
154

Primality

Prime factorization: 2 5 × 41 × 103

Nearest primes: 135,131 (−5) · 135,151 (+15)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 8 · 16 · 32 · 41 · 82 · 103 · 164 · 206 · 328 · 412 · 656 · 824 · 1312 · 1648 · 3296 · 4223 · 8446 · 16892 · 33784 · 67568 (half) · 135136
Aliquot sum (sum of proper divisors): 140,048
Factor pairs (a × b = 135,136)
1 × 135136
2 × 67568
4 × 33784
8 × 16892
16 × 8446
32 × 4223
41 × 3296
82 × 1648
103 × 1312
164 × 824
206 × 656
328 × 412
First multiples
135,136 · 270,272 (double) · 405,408 · 540,544 · 675,680 · 810,816 · 945,952 · 1,081,088 · 1,216,224 · 1,351,360

Sums & aliquot sequence

As consecutive integers: 3,276 + 3,277 + … + 3,316 2,080 + 2,081 + … + 2,143 1,261 + 1,262 + … + 1,363
Aliquot sequence: 135,136 140,048 131,326 80,858 40,432 54,056 51,244 42,500 55,906 27,956 22,864 21,466 10,736 12,328 12,152 15,208 13,322 — unresolved within range

Continued fraction of √n

√135,136 = [367; (1, 1, 1, 1, 4, 8, 1, 6, 9, 22, 5, 1, 7, 1, 1, 1, 1, 1, 1, 6, 1, 2, 1, 3, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-five thousand one hundred thirty-six
Ordinal
135136th
Binary
100000111111100000
Octal
407740
Hexadecimal
0x20FE0
Base64
Ag/g
One's complement
4,294,832,159 (32-bit)
Scientific notation
1.35136 × 10⁵
As a duration
135,136 s = 1 day, 13 hours, 32 minutes, 16 seconds
In other bases
ternary (3) 20212101001
quaternary (4) 200333200
quinary (5) 13311021
senary (6) 2521344
septenary (7) 1101661
nonary (9) 225331
undecimal (11) 92591
duodecimal (12) 66254
tridecimal (13) 49681
tetradecimal (14) 37368
pentadecimal (15) 2a091

As an angle

135,136° = 375 × 360° + 136°
136° ≈ 2.374 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλερλϛʹ
Mayan (base 20)
𝋰·𝋱·𝋰·𝋰
Chinese
一十三萬五千一百三十六
Chinese (financial)
壹拾參萬伍仟壹佰參拾陸
In other modern scripts
Eastern Arabic ١٣٥١٣٦ Devanagari १३५१३६ Bengali ১৩৫১৩৬ Tamil ௧௩௫௧௩௬ Thai ๑๓๕๑๓๖ Tibetan ༡༣༥༡༣༦ Khmer ១៣៥១៣៦ Lao ໑໓໕໑໓໖ Burmese ၁၃၅၁၃၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135136, here are decompositions:

  • 5 + 135131 = 135136
  • 17 + 135119 = 135136
  • 47 + 135089 = 135136
  • 59 + 135077 = 135136
  • 107 + 135029 = 135136
  • 137 + 134999 = 135136
  • 227 + 134909 = 135136
  • 263 + 134873 = 135136

Showing the first eight; more decompositions exist.

Unicode codepoint
𠿠
CJK Unified Ideograph-20Fe0
U+20FE0
Other letter (Lo)

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

Hex color
#020FE0
RGB(2, 15, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.15.224.

Address
0.2.15.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.15.224

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 135,136 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