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136,128

136,128 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.).

136,128 (one hundred thirty-six thousand one hundred twenty-eight) is an even 6-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 3 × 709. Its proper divisors sum to 224,552, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x213C0.

Abundant Number Evil Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
288
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
821,631
Square (n²)
18,530,832,384
Cube (n³)
2,522,565,150,769,152
Divisor count
28
σ(n) — sum of divisors
360,680
φ(n) — Euler's totient
45,312
Sum of prime factors
724

Primality

Prime factorization: 2 6 × 3 × 709

Nearest primes: 136,111 (−17) · 136,133 (+5)

Divisors & multiples

All divisors (28)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 32 · 48 · 64 · 96 · 192 · 709 · 1418 · 2127 · 2836 · 4254 · 5672 · 8508 · 11344 · 17016 · 22688 · 34032 · 45376 · 68064 (half) · 136128
Aliquot sum (sum of proper divisors): 224,552
Factor pairs (a × b = 136,128)
1 × 136128
2 × 68064
3 × 45376
4 × 34032
6 × 22688
8 × 17016
12 × 11344
16 × 8508
24 × 5672
32 × 4254
48 × 2836
64 × 2127
96 × 1418
192 × 709
First multiples
136,128 · 272,256 (double) · 408,384 · 544,512 · 680,640 · 816,768 · 952,896 · 1,089,024 · 1,225,152 · 1,361,280

Sums & aliquot sequence

As consecutive integers: 45,375 + 45,376 + 45,377 1,000 + 1,001 + … + 1,127 163 + 164 + … + 546
Aliquot sequence: 136,128 224,552 196,498 113,822 56,914 43,886 21,946 10,976 14,224 17,520 37,536 71,328 116,160 289,224 584,376 989,784 1,748,016 — unresolved within range

Continued fraction of √n

√136,128 = [368; (1, 21, 2, 1, 3, 5, 1, 4, 1, 2, 1, 183, 1, 2, 1, 4, 1, 5, 3, 1, 2, 21, 1, 736)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-six thousand one hundred twenty-eight
Ordinal
136128th
Binary
100001001111000000
Octal
411700
Hexadecimal
0x213C0
Base64
AhPA
One's complement
4,294,831,167 (32-bit)
Scientific notation
1.36128 × 10⁵
As a duration
136,128 s = 1 day, 13 hours, 48 minutes, 48 seconds
In other bases
ternary (3) 20220201210
quaternary (4) 201033000
quinary (5) 13324003
senary (6) 2530120
septenary (7) 1104606
nonary (9) 226653
undecimal (11) 93303
duodecimal (12) 66940
tridecimal (13) 49c65
tetradecimal (14) 37876
pentadecimal (15) 2a503

As an angle

136,128° = 378 × 360° + 48°
48° ≈ 0.838 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλϛρκηʹ
Mayan (base 20)
𝋱·𝋠·𝋦·𝋨
Chinese
一十三萬六千一百二十八
Chinese (financial)
壹拾參萬陸仟壹佰貳拾捌
In other modern scripts
Eastern Arabic ١٣٦١٢٨ Devanagari १३६१२८ Bengali ১৩৬১২৮ Tamil ௧௩௬௧௨௮ Thai ๑๓๖๑๒๘ Tibetan ༡༣༦༡༢༨ Khmer ១៣៦១២៨ Lao ໑໓໖໑໒໘ Burmese ၁၃၆၁၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 136128, here are decompositions:

  • 17 + 136111 = 136128
  • 29 + 136099 = 136128
  • 59 + 136069 = 136128
  • 61 + 136067 = 136128
  • 71 + 136057 = 136128
  • 101 + 136027 = 136128
  • 149 + 135979 = 136128
  • 151 + 135977 = 136128

Showing the first eight; more decompositions exist.

Unicode codepoint
𡏀
CJK Unified Ideograph-213C0
U+213C0
Other letter (Lo)

UTF-8 encoding: F0 A1 8F 80 (4 bytes).

Hex color
#0213C0
RGB(2, 19, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.19.192.

Address
0.2.19.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.19.192

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 136,128 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 136128 first appears in π at position 685,291 of the decimal expansion (the 685,291ordinal-suffix:st 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

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