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135,272

135,272 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.).

135,272 (one hundred thirty-five thousand two hundred seventy-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 37 × 457. Written other ways, in hexadecimal, 0x21068.

Deficient Number Odious Number Pernicious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
420
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
272,531
Square (n²)
18,298,513,984
Cube (n³)
2,475,276,583,643,648
Divisor count
16
σ(n) — sum of divisors
261,060
φ(n) — Euler's totient
65,664
Sum of prime factors
500

Primality

Prime factorization: 2 3 × 37 × 457

Nearest primes: 135,271 (−1) · 135,277 (+5)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 37 · 74 · 148 · 296 · 457 · 914 · 1828 · 3656 · 16909 · 33818 · 67636 (half) · 135272
Aliquot sum (sum of proper divisors): 125,788
Factor pairs (a × b = 135,272)
1 × 135272
2 × 67636
4 × 33818
8 × 16909
37 × 3656
74 × 1828
148 × 914
296 × 457
First multiples
135,272 · 270,544 (double) · 405,816 · 541,088 · 676,360 · 811,632 · 946,904 · 1,082,176 · 1,217,448 · 1,352,720

Sums & aliquot sequence

As a sum of two squares: 154² + 334² = 254² + 266²
As consecutive integers: 8,447 + 8,448 + … + 8,462 3,638 + 3,639 + … + 3,674 68 + 69 + … + 524
Aliquot sequence: 135,272 125,788 121,172 90,886 50,234 25,120 34,604 27,724 22,676 17,014 9,194 4,600 6,560 9,316 8,072 7,078 3,542 — unresolved within range

Continued fraction of √n

√135,272 = [367; (1, 3, 1, 5, 3, 1, 1, 2, 1, 1, 1, 1, 15, 26, 4, 1, 4, 1, 104, 3, 1, 9, 3, 14, …)]

Period length 58 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-five thousand two hundred seventy-two
Ordinal
135272nd
Binary
100001000001101000
Octal
410150
Hexadecimal
0x21068
Base64
AhBo
One's complement
4,294,832,023 (32-bit)
Scientific notation
1.35272 × 10⁵
As a duration
135,272 s = 1 day, 13 hours, 34 minutes, 32 seconds
In other bases
ternary (3) 20212120002
quaternary (4) 201001220
quinary (5) 13312042
senary (6) 2522132
septenary (7) 1102244
nonary (9) 225502
undecimal (11) 926a5
duodecimal (12) 66348
tridecimal (13) 49757
tetradecimal (14) 37424
pentadecimal (15) 2a132

As an angle

135,272° = 375 × 360° + 272°
272° ≈ 4.747 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλεσοβʹ
Mayan (base 20)
𝋰·𝋲·𝋣·𝋬
Chinese
一十三萬五千二百七十二
Chinese (financial)
壹拾參萬伍仟貳佰柒拾貳
In other modern scripts
Eastern Arabic ١٣٥٢٧٢ Devanagari १३५२७२ Bengali ১৩৫২৭২ Tamil ௧௩௫௨௭௨ Thai ๑๓๕๒๗๒ Tibetan ༡༣༥༢༧༢ Khmer ១៣៥២៧២ Lao ໑໓໕໒໗໒ Burmese ၁၃၅၂၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135272, here are decompositions:

  • 31 + 135241 = 135272
  • 61 + 135211 = 135272
  • 79 + 135193 = 135272
  • 223 + 135049 = 135272
  • 229 + 135043 = 135272
  • 283 + 134989 = 135272
  • 349 + 134923 = 135272
  • 421 + 134851 = 135272

Showing the first eight; more decompositions exist.

Unicode codepoint
𡁨
CJK Unified Ideograph-21068
U+21068
Other letter (Lo)

UTF-8 encoding: F0 A1 81 A8 (4 bytes).

Hex color
#021068
RGB(2, 16, 104)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.16.104.

Address
0.2.16.104
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.16.104

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 135,272 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

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