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135,721

135,721 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.).

135,721 (one hundred thirty-five thousand seven hundred twenty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21229.

Arithmetic Number Centered Square Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Sexy Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
210
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
127,531
Square (n²)
18,420,189,841
Cube (n³)
2,500,006,585,410,361
Divisor count
2
σ(n) — sum of divisors
135,722
φ(n) — Euler's totient
135,720

Primality

135,721 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 135721
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 135,721)
1 × 135721
First multiples
135,721 · 271,442 (double) · 407,163 · 542,884 · 678,605 · 814,326 · 950,047 · 1,085,768 · 1,221,489 · 1,357,210

Sums & aliquot sequence

As a sum of two squares: 260² + 261²
As consecutive integers: 67,860 + 67,861

Continued fraction of √n

√135,721 = [368; (2, 2, 11, 1, 2, 8, 1, 6, 1, 1, 4, 1, 1, 4, 1, 3, 56, 2, 2, 2, 6, 2, 1, 10, …)]

Representations

In words
one hundred thirty-five thousand seven hundred twenty-one
Ordinal
135721st
Binary
100001001000101001
Octal
411051
Hexadecimal
0x21229
Base64
AhIp
One's complement
4,294,831,574 (32-bit)
Scientific notation
1.35721 × 10⁵
As a duration
135,721 s = 1 day, 13 hours, 42 minutes, 1 second
In other bases
ternary (3) 20220011201
quaternary (4) 201020221
quinary (5) 13320341
senary (6) 2524201
septenary (7) 1103455
nonary (9) 226151
undecimal (11) 92a73
duodecimal (12) 66661
tridecimal (13) 49a11
tetradecimal (14) 37665
pentadecimal (15) 2a331

As an angle

135,721° = 377 × 360° + 1°
1° ≈ 0.017 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ρλεψκαʹ
Mayan (base 20)
𝋰·𝋳·𝋦·𝋡
Chinese
一十三萬五千七百二十一
Chinese (financial)
壹拾參萬伍仟柒佰貳拾壹
In other modern scripts
Eastern Arabic ١٣٥٧٢١ Devanagari १३५७२१ Bengali ১৩৫৭২১ Tamil ௧௩௫௭௨௧ Thai ๑๓๕๗๒๑ Tibetan ༡༣༥༧༢༡ Khmer ១៣៥៧២១ Lao ໑໓໕໗໒໑ Burmese ၁၃၅၇၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 135719, sexy with 135727.

Unicode codepoint
𡈩
CJK Unified Ideograph-21229
U+21229
Other letter (Lo)

UTF-8 encoding: F0 A1 88 A9 (4 bytes).

Hex color
#021229
RGB(2, 18, 41)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.18.41.

Address
0.2.18.41
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.18.41

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 135,721 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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.