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134,153

134,153 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.).

134,153 (one hundred thirty-four thousand one hundred fifty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20C09.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
180
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
351,431
Square (n²)
17,997,027,409
Cube (n³)
2,414,355,217,999,577
Divisor count
2
σ(n) — sum of divisors
134,154
φ(n) — Euler's totient
134,152

Primality

134,153 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 134153
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 134,153)
1 × 134153
First multiples
134,153 · 268,306 (double) · 402,459 · 536,612 · 670,765 · 804,918 · 939,071 · 1,073,224 · 1,207,377 · 1,341,530

Sums & aliquot sequence

As a sum of two squares: 163² + 328²
As consecutive integers: 67,076 + 67,077

Continued fraction of √n

√134,153 = [366; (3, 1, 2, 1, 1, 6, 1, 2, 11, 1, 1, 1, 16, 2, 1, 1, 1, 4, 25, 22, 1, 5, 1, 3, …)]

Period length 51 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-four thousand one hundred fifty-three
Ordinal
134153rd
Binary
100000110000001001
Octal
406011
Hexadecimal
0x20C09
Base64
AgwJ
One's complement
4,294,833,142 (32-bit)
Scientific notation
1.34153 × 10⁵
As a duration
134,153 s = 1 day, 13 hours, 15 minutes, 53 seconds
In other bases
ternary (3) 20211000122
quaternary (4) 200300021
quinary (5) 13243103
senary (6) 2513025
septenary (7) 1066055
nonary (9) 224018
undecimal (11) 91878
duodecimal (12) 65775
tridecimal (13) 490a6
tetradecimal (14) 36c65
pentadecimal (15) 29b38

As an angle

134,153° = 372 × 360° + 233°
233° ≈ 4.067 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλδρνγʹ
Mayan (base 20)
𝋰·𝋯·𝋧·𝋭
Chinese
一十三萬四千一百五十三
Chinese (financial)
壹拾參萬肆仟壹佰伍拾參
In other modern scripts
Eastern Arabic ١٣٤١٥٣ Devanagari १३४१५३ Bengali ১৩৪১৫৩ Tamil ௧௩௪௧௫௩ Thai ๑๓๔๑๕๓ Tibetan ༡༣༤༡༥༣ Khmer ១៣៤១៥៣ Lao ໑໓໔໑໕໓ Burmese ၁၃၄၁၅၃

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𠰉
CJK Unified Ideograph-20C09
U+20C09
Other letter (Lo)

UTF-8 encoding: F0 A0 B0 89 (4 bytes).

Hex color
#020C09
RGB(2, 12, 9)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.12.9.

Address
0.2.12.9
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.12.9

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 134,153 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 134153 first appears in π at position 134,653 of the decimal expansion (the 134,653ordinal-suffix:rd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

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.