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135,461

135,461 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.).

135,461 (one hundred thirty-five thousand four hundred sixty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21125.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Evil Number Lazy Caterer Number Prime Pythagorean Prime Sexy Prime Sophie Germain Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
360
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
164,531
Square (n²)
18,349,682,521
Cube (n³)
2,485,666,343,977,181
Divisor count
2
σ(n) — sum of divisors
135,462
φ(n) — Euler's totient
135,460

Primality

135,461 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 135461
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 135,461)
1 × 135461
First multiples
135,461 · 270,922 (double) · 406,383 · 541,844 · 677,305 · 812,766 · 948,227 · 1,083,688 · 1,219,149 · 1,354,610

Sums & aliquot sequence

As a sum of two squares: 206² + 305²
As consecutive integers: 67,730 + 67,731

Continued fraction of √n

√135,461 = [368; (19, 1, 8, 2, 1, 2, 1, 1, 3, 2, 2, 146, 1, 4, 3, 1, 3, 1, 1, 13, 1, 1, 2, 13, …)]

Representations

In words
one hundred thirty-five thousand four hundred sixty-one
Ordinal
135461st
Binary
100001000100100101
Octal
410445
Hexadecimal
0x21125
Base64
AhEl
One's complement
4,294,831,834 (32-bit)
Scientific notation
1.35461 × 10⁵
As a duration
135,461 s = 1 day, 13 hours, 37 minutes, 41 seconds
In other bases
ternary (3) 20212211002
quaternary (4) 201010211
quinary (5) 13313321
senary (6) 2523045
septenary (7) 1102634
nonary (9) 225732
undecimal (11) 92857
duodecimal (12) 66485
tridecimal (13) 49871
tetradecimal (14) 3751b
pentadecimal (15) 2a20b

As an angle

135,461° = 376 × 360° + 101°
101° ≈ 1.763 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρλευξαʹ
Mayan (base 20)
𝋰·𝋲·𝋭·𝋡
Chinese
一十三萬五千四百六十一
Chinese (financial)
壹拾參萬伍仟肆佰陸拾壹
In other modern scripts
Eastern Arabic ١٣٥٤٦١ Devanagari १३५४६१ Bengali ১৩৫৪৬১ Tamil ௧௩௫௪௬௧ Thai ๑๓๕๔๖๑ Tibetan ༡༣༥༤༦༡ Khmer ១៣៥៤៦១ Lao ໑໓໕໔໖໑ Burmese ၁၃၅၄၆၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 135463.

Unicode codepoint
𡄥
CJK Unified Ideograph-21125
U+21125
Other letter (Lo)

UTF-8 encoding: F0 A1 84 A5 (4 bytes).

Hex color
#021125
RGB(2, 17, 37)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.17.37.

Address
0.2.17.37
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.17.37

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 135,461 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.