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135,497

135,497 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.).

135,497 (one hundred thirty-five thousand four hundred ninety-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21149.

Arithmetic Number Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
29
Digit product
3,780
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
794,531
Square (n²)
18,359,437,009
Cube (n³)
2,487,648,636,408,473
Divisor count
2
σ(n) — sum of divisors
135,498
φ(n) — Euler's totient
135,496

Primality

135,497 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 135497
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 135,497)
1 × 135497
First multiples
135,497 · 270,994 (double) · 406,491 · 541,988 · 677,485 · 812,982 · 948,479 · 1,083,976 · 1,219,473 · 1,354,970

Sums & aliquot sequence

As a sum of two squares: 131² + 344²
As consecutive integers: 67,748 + 67,749

Continued fraction of √n

√135,497 = [368; (10, 11, 1, 31, 10, 1, 22, 10, 3, 13, 1, 1, 3, 5, 1, 1, 19, 2, 1, 4, 1, 2, 2, 1, …)]

Representations

In words
one hundred thirty-five thousand four hundred ninety-seven
Ordinal
135497th
Binary
100001000101001001
Octal
410511
Hexadecimal
0x21149
Base64
AhFJ
One's complement
4,294,831,798 (32-bit)
Scientific notation
1.35497 × 10⁵
As a duration
135,497 s = 1 day, 13 hours, 38 minutes, 17 seconds
In other bases
ternary (3) 20212212102
quaternary (4) 201011021
quinary (5) 13313442
senary (6) 2523145
septenary (7) 1103015
nonary (9) 225772
undecimal (11) 9288a
duodecimal (12) 664b5
tridecimal (13) 4989b
tetradecimal (14) 37545
pentadecimal (15) 2a232

As an angle

135,497° = 376 × 360° + 137°
137° ≈ 2.391 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλευϟζʹ
Mayan (base 20)
𝋰·𝋲·𝋮·𝋱
Chinese
一十三萬五千四百九十七
Chinese (financial)
壹拾參萬伍仟肆佰玖拾柒
In other modern scripts
Eastern Arabic ١٣٥٤٩٧ Devanagari १३५४९७ Bengali ১৩৫৪৯৭ Tamil ௧௩௫௪௯௭ Thai ๑๓๕๔๙๗ Tibetan ༡༣༥༤༩༧ Khmer ១៣៥៤៩៧ Lao ໑໓໕໔໙໗ Burmese ၁၃၅၄၉၇

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𡅉
CJK Unified Ideograph-21149
U+21149
Other letter (Lo)

UTF-8 encoding: F0 A1 85 89 (4 bytes).

Hex color
#021149
RGB(2, 17, 73)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.17.73.

Address
0.2.17.73
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.17.73

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 135,497 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.