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134,837

134,837 is a prime, odd.

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.).

134,837 (one hundred thirty-four thousand eight hundred thirty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20EB5.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Prime Pythagorean Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
26
Digit product
2,016
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
738,431
Square (n²)
18,181,016,569
Cube (n³)
2,451,473,731,114,253
Divisor count
2
σ(n) — sum of divisors
134,838
φ(n) — Euler's totient
134,836

Primality

134,837 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 134837
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 134,837)
1 × 134837
First multiples
134,837 · 269,674 (double) · 404,511 · 539,348 · 674,185 · 809,022 · 943,859 · 1,078,696 · 1,213,533 · 1,348,370

Sums & aliquot sequence

As a sum of two squares: 169² + 326²
As consecutive integers: 67,418 + 67,419

Continued fraction of √n

√134,837 = [367; (4, 1, 24, 1, 1, 9, 1, 5, 56, 3, 10, 1, 1, 1, 2, 2, 1, 4, 1, 9, 4, 4, 9, 1, …)]

Period length 43 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-four thousand eight hundred thirty-seven
Ordinal
134837th
Binary
100000111010110101
Octal
407265
Hexadecimal
0x20EB5
Base64
Ag61
One's complement
4,294,832,458 (32-bit)
Scientific notation
1.34837 × 10⁵
As a duration
134,837 s = 1 day, 13 hours, 27 minutes, 17 seconds
In other bases
ternary (3) 20211221222
quaternary (4) 200322311
quinary (5) 13303322
senary (6) 2520125
septenary (7) 1101053
nonary (9) 224858
undecimal (11) 9233a
duodecimal (12) 66045
tridecimal (13) 494b1
tetradecimal (14) 371d3
pentadecimal (15) 29e42

As an angle

134,837° = 374 × 360° + 197°
197° ≈ 3.438 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλδωλζʹ
Mayan (base 20)
𝋰·𝋱·𝋡·𝋱
Chinese
一十三萬四千八百三十七
Chinese (financial)
壹拾參萬肆仟捌佰參拾柒
In other modern scripts
Eastern Arabic ١٣٤٨٣٧ Devanagari १३४८३७ Bengali ১৩৪৮৩৭ Tamil ௧௩௪௮௩௭ Thai ๑๓๔๘๓๗ Tibetan ༡༣༤༨༣༧ Khmer ១៣៤៨៣៧ Lao ໑໓໔໘໓໗ Burmese ၁၃၄၈၃၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 134839.

Unicode codepoint
𠺵
CJK Unified Ideograph-20Eb5
U+20EB5
Other letter (Lo)

UTF-8 encoding: F0 A0 BA B5 (4 bytes).

Hex color
#020EB5
RGB(2, 14, 181)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.14.181.

Address
0.2.14.181
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.14.181

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 134,837 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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.