number.wiki
Live analysis

133,148

133,148 is a composite number, even.

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.).

133,148 (one hundred thirty-three thousand one hundred forty-eight) is an even 6-digit number. It is a composite number with 6 divisors, and factors as 2² × 33,287. Written other ways, in hexadecimal, 0x2081C.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Pernicious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
288
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
841,331
Square (n²)
17,728,389,904
Cube (n³)
2,360,499,658,937,792
Divisor count
6
σ(n) — sum of divisors
233,016
φ(n) — Euler's totient
66,572
Sum of prime factors
33,291

Primality

Prime factorization: 2 2 × 33287

Nearest primes: 133,121 (−27) · 133,153 (+5)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 33287 · 66574 (half) · 133148
Aliquot sum (sum of proper divisors): 99,868
Factor pairs (a × b = 133,148)
1 × 133148
2 × 66574
4 × 33287
First multiples
133,148 · 266,296 (double) · 399,444 · 532,592 · 665,740 · 798,888 · 932,036 · 1,065,184 · 1,198,332 · 1,331,480

Sums & aliquot sequence

As consecutive integers: 16,640 + 16,641 + … + 16,647
Aliquot sequence: 133,148 99,868 74,908 58,764 82,356 109,836 180,636 240,876 368,096 356,656 334,396 265,364 258,124 203,540 223,936 220,564 171,660 — unresolved within range

Continued fraction of √n

√133,148 = [364; (1, 8, 2, 11, 2, 24, 1, 2, 5, 2, 2, 4, 4, 6, 1, 90, 2, 1, 3, 4, 3, 1, 5, 2, …)]

Representations

In words
one hundred thirty-three thousand one hundred forty-eight
Ordinal
133148th
Binary
100000100000011100
Octal
404034
Hexadecimal
0x2081C
Base64
Aggc
One's complement
4,294,834,147 (32-bit)
Scientific notation
1.33148 × 10⁵
As a duration
133,148 s = 1 day, 12 hours, 59 minutes, 8 seconds
In other bases
ternary (3) 20202122102
quaternary (4) 200200130
quinary (5) 13230043
senary (6) 2504232
septenary (7) 1063121
nonary (9) 222572
undecimal (11) 91044
duodecimal (12) 65078
tridecimal (13) 487b2
tetradecimal (14) 36748
pentadecimal (15) 296b8

As an angle

133,148° = 369 × 360° + 308°
308° ≈ 5.376 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγρμηʹ
Mayan (base 20)
𝋰·𝋬·𝋱·𝋨
Chinese
一十三萬三千一百四十八
Chinese (financial)
壹拾參萬參仟壹佰肆拾捌
In other modern scripts
Eastern Arabic ١٣٣١٤٨ Devanagari १३३१४८ Bengali ১৩৩১৪৮ Tamil ௧௩௩௧௪௮ Thai ๑๓๓๑๔๘ Tibetan ༡༣༣༡༤༨ Khmer ១៣៣១៤៨ Lao ໑໓໓໑໔໘ Burmese ၁၃၃၁၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133148, here are decompositions:

  • 31 + 133117 = 133148
  • 61 + 133087 = 133148
  • 79 + 133069 = 133148
  • 97 + 133051 = 133148
  • 109 + 133039 = 133148
  • 181 + 132967 = 133148
  • 199 + 132949 = 133148
  • 331 + 132817 = 133148

Showing the first eight; more decompositions exist.

Unicode codepoint
𠠜
CJK Unified Ideograph-2081C
U+2081C
Other letter (Lo)

UTF-8 encoding: F0 A0 A0 9C (4 bytes).

Hex color
#02081C
RGB(2, 8, 28)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.28.

Address
0.2.8.28
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.28

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 133,148 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 133148 first appears in π at position 504,135 of the decimal expansion (the 504,135ordinal-suffix:th 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.