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136,136

136,136 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.).

136,136 (one hundred thirty-six thousand one hundred thirty-six) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 7 × 11 × 13 × 17. Its proper divisors sum to 226,744, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x213C8.

Abundant Number Arithmetic Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
324
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
631,631
Square (n²)
18,533,010,496
Cube (n³)
2,523,009,916,883,456
Divisor count
64
σ(n) — sum of divisors
362,880
φ(n) — Euler's totient
46,080
Sum of prime factors
54

Primality

Prime factorization: 2 3 × 7 × 11 × 13 × 17

Nearest primes: 136,133 (−3) · 136,139 (+3)

Divisors & multiples

All divisors (64)
1 · 2 · 4 · 7 · 8 · 11 · 13 · 14 · 17 · 22 · 26 · 28 · 34 · 44 · 52 · 56 · 68 · 77 · 88 · 91 · 104 · 119 · 136 · 143 · 154 · 182 · 187 · 221 · 238 · 286 · 308 · 364 · 374 · 442 · 476 · 572 · 616 · 728 · 748 · 884 · 952 · 1001 · 1144 · 1309 · 1496 · 1547 · 1768 · 2002 · 2431 · 2618 · 3094 · 4004 · 4862 · 5236 · 6188 · 8008 · 9724 · 10472 · 12376 · 17017 · 19448 · 34034 · 68068 (half) · 136136
Aliquot sum (sum of proper divisors): 226,744
Factor pairs (a × b = 136,136)
1 × 136136
2 × 68068
4 × 34034
7 × 19448
8 × 17017
11 × 12376
13 × 10472
14 × 9724
17 × 8008
22 × 6188
26 × 5236
28 × 4862
34 × 4004
44 × 3094
52 × 2618
56 × 2431
68 × 2002
77 × 1768
88 × 1547
91 × 1496
104 × 1309
119 × 1144
136 × 1001
143 × 952
154 × 884
182 × 748
187 × 728
221 × 616
238 × 572
286 × 476
308 × 442
364 × 374
First multiples
136,136 · 272,272 (double) · 408,408 · 544,544 · 680,680 · 816,816 · 952,952 · 1,089,088 · 1,225,224 · 1,361,360

Sums & aliquot sequence

As consecutive integers: 19,445 + 19,446 + … + 19,451 12,371 + 12,372 + … + 12,381 10,466 + 10,467 + … + 10,478 8,501 + 8,502 + … + 8,516
Aliquot sequence: 136,136 226,744 259,256 248,344 230,456 201,664 218,960 423,856 413,144 380,176 356,446 178,226 89,116 66,844 57,140 62,896 58,996 — unresolved within range

Continued fraction of √n

√136,136 = [368; (1, 28, 1, 1, 12, 1, 9, 1, 12, 1, 1, 28, 1, 736)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-six thousand one hundred thirty-six
Ordinal
136136th
Binary
100001001111001000
Octal
411710
Hexadecimal
0x213C8
Base64
AhPI
One's complement
4,294,831,159 (32-bit)
Scientific notation
1.36136 × 10⁵
As a duration
136,136 s = 1 day, 13 hours, 48 minutes, 56 seconds
In other bases
ternary (3) 20220202002
quaternary (4) 201033020
quinary (5) 13324021
senary (6) 2530132
septenary (7) 1104620
nonary (9) 226662
undecimal (11) 93310
duodecimal (12) 66948
tridecimal (13) 49c70
tetradecimal (14) 37880
pentadecimal (15) 2a50b

As an angle

136,136° = 378 × 360° + 56°
56° ≈ 0.977 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλϛρλϛʹ
Mayan (base 20)
𝋱·𝋠·𝋦·𝋰
Chinese
一十三萬六千一百三十六
Chinese (financial)
壹拾參萬陸仟壹佰參拾陸
In other modern scripts
Eastern Arabic ١٣٦١٣٦ Devanagari १३६१३६ Bengali ১৩৬১৩৬ Tamil ௧௩௬௧௩௬ Thai ๑๓๖๑๓๖ Tibetan ༡༣༦༡༣༦ Khmer ១៣៦១៣៦ Lao ໑໓໖໑໓໖ Burmese ၁၃၆၁၃၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 136136, here are decompositions:

  • 3 + 136133 = 136136
  • 37 + 136099 = 136136
  • 43 + 136093 = 136136
  • 67 + 136069 = 136136
  • 79 + 136057 = 136136
  • 103 + 136033 = 136136
  • 109 + 136027 = 136136
  • 157 + 135979 = 136136

Showing the first eight; more decompositions exist.

Unicode codepoint
𡏈
CJK Unified Ideograph-213C8
U+213C8
Other letter (Lo)

UTF-8 encoding: F0 A1 8F 88 (4 bytes).

Hex color
#0213C8
RGB(2, 19, 200)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.19.200.

Address
0.2.19.200
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.19.200

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 136,136 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 136136 first appears in π at position 622,136 of the decimal expansion (the 622,136ordinal-suffix:th 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.