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133,875

133,875 is a composite number, 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.).

133,875 (one hundred thirty-three thousand eight hundred seventy-five) is an odd 6-digit number. It is a composite number with 48 divisors, and factors as 3² × 5³ × 7 × 17. Its proper divisors sum to 158,157, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20AF3.

Abundant Number Arithmetic Number Gapful Number Odious Number Semiperfect Number

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
27
Digit product
2,520
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
578,331
Square (n²)
17,922,515,625
Cube (n³)
2,399,376,779,296,875
Divisor count
48
σ(n) — sum of divisors
292,032
φ(n) — Euler's totient
57,600
Sum of prime factors
45

Primality

Prime factorization: 3 2 × 5 3 × 7 × 17

Nearest primes: 133,873 (−2) · 133,877 (+2)

Divisors & multiples

All divisors (48)
1 · 3 · 5 · 7 · 9 · 15 · 17 · 21 · 25 · 35 · 45 · 51 · 63 · 75 · 85 · 105 · 119 · 125 · 153 · 175 · 225 · 255 · 315 · 357 · 375 · 425 · 525 · 595 · 765 · 875 · 1071 · 1125 · 1275 · 1575 · 1785 · 2125 · 2625 · 2975 · 3825 · 5355 · 6375 · 7875 · 8925 · 14875 · 19125 · 26775 · 44625 · 133875
Aliquot sum (sum of proper divisors): 158,157
Factor pairs (a × b = 133,875)
1 × 133875
3 × 44625
5 × 26775
7 × 19125
9 × 14875
15 × 8925
17 × 7875
21 × 6375
25 × 5355
35 × 3825
45 × 2975
51 × 2625
63 × 2125
75 × 1785
85 × 1575
105 × 1275
119 × 1125
125 × 1071
153 × 875
175 × 765
225 × 595
255 × 525
315 × 425
357 × 375
First multiples
133,875 · 267,750 (double) · 401,625 · 535,500 · 669,375 · 803,250 · 937,125 · 1,071,000 · 1,204,875 · 1,338,750

Sums & aliquot sequence

As consecutive integers: 66,937 + 66,938 44,624 + 44,625 + 44,626 26,773 + 26,774 + 26,775 + 26,776 + 26,777 22,310 + 22,311 + 22,312 + 22,313 + 22,314 + 22,315
Aliquot sequence: 133,875 158,157 70,305 45,855 33,705 33,687 17,793 8,607 3,553 767 73 1 0 — terminates at zero

Continued fraction of √n

√133,875 = [365; (1, 8, 28, 29, 4, 4, 12, 5, 1, 28, 2, 3, 2, 1, 1, 1, 2, 3, 2, 28, 1, 5, 12, 4, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand eight hundred seventy-five
Ordinal
133875th
Binary
100000101011110011
Octal
405363
Hexadecimal
0x20AF3
Base64
Agrz
One's complement
4,294,833,420 (32-bit)
Scientific notation
1.33875 × 10⁵
As a duration
133,875 s = 1 day, 13 hours, 11 minutes, 15 seconds
In other bases
ternary (3) 20210122100
quaternary (4) 200223303
quinary (5) 13241000
senary (6) 2511443
septenary (7) 1065210
nonary (9) 223570
undecimal (11) 91645
duodecimal (12) 65583
tridecimal (13) 48c21
tetradecimal (14) 36b07
pentadecimal (15) 29a00

As an angle

133,875° = 371 × 360° + 315°
315° ≈ 5.498 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγωοεʹ
Mayan (base 20)
𝋰·𝋮·𝋭·𝋯
Chinese
一十三萬三千八百七十五
Chinese (financial)
壹拾參萬參仟捌佰柒拾伍
In other modern scripts
Eastern Arabic ١٣٣٨٧٥ Devanagari १३३८७५ Bengali ১৩৩৮৭৫ Tamil ௧௩௩௮௭௫ Thai ๑๓๓๘๗๕ Tibetan ༡༣༣༨༧༥ Khmer ១៣៣៨៧៥ Lao ໑໓໓໘໗໕ Burmese ၁၃၃၈၇၅

Also seen as

Unicode codepoint
𠫳
CJK Unified Ideograph-20Af3
U+20AF3
Other letter (Lo)

UTF-8 encoding: F0 A0 AB B3 (4 bytes).

Hex color
#020AF3
RGB(2, 10, 243)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.243.

Address
0.2.10.243
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.243

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 133,875 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.