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133,125

133,125 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.).

133,125 (one hundred thirty-three thousand one hundred twenty-five) is an odd 6-digit number. It is a composite number with 20 divisors, and factors as 3 × 5⁴ × 71. Written other ways, in hexadecimal, 0x20805.

Deficient Number Evil Number Frugal Number Gapful Number Happy Number Harshad / Niven

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
15
Digit product
90
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
521,331
Square (n²)
17,722,265,625
Cube (n³)
2,359,276,611,328,125
Divisor count
20
σ(n) — sum of divisors
224,928
φ(n) — Euler's totient
70,000
Sum of prime factors
94

Primality

Prime factorization: 3 × 5 4 × 71

Nearest primes: 133,121 (−4) · 133,153 (+28)

Divisors & multiples

All divisors (20)
1 · 3 · 5 · 15 · 25 · 71 · 75 · 125 · 213 · 355 · 375 · 625 · 1065 · 1775 · 1875 · 5325 · 8875 · 26625 · 44375 · 133125
Aliquot sum (sum of proper divisors): 91,803
Factor pairs (a × b = 133,125)
1 × 133125
3 × 44375
5 × 26625
15 × 8875
25 × 5325
71 × 1875
75 × 1775
125 × 1065
213 × 625
355 × 375
First multiples
133,125 · 266,250 (double) · 399,375 · 532,500 · 665,625 · 798,750 · 931,875 · 1,065,000 · 1,198,125 · 1,331,250

Sums & aliquot sequence

As consecutive integers: 66,562 + 66,563 44,374 + 44,375 + 44,376 26,623 + 26,624 + 26,625 + 26,626 + 26,627 22,185 + 22,186 + 22,187 + 22,188 + 22,189 + 22,190
Aliquot sequence: 133,125 91,803 32,613 17,115 14,373 6,401 211 1 0 — terminates at zero

Continued fraction of √n

√133,125 = [364; (1, 6, 3, 2, 1, 6, 1, 1, 2, 28, 1, 3, 1, 6, 2, 181, 1, 28, 5, 7, 10, 7, 5, 28, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand one hundred twenty-five
Ordinal
133125th
Binary
100000100000000101
Octal
404005
Hexadecimal
0x20805
Base64
AggF
One's complement
4,294,834,170 (32-bit)
Scientific notation
1.33125 × 10⁵
As a duration
133,125 s = 1 day, 12 hours, 58 minutes, 45 seconds
In other bases
ternary (3) 20202121120
quaternary (4) 200200011
quinary (5) 13230000
senary (6) 2504153
septenary (7) 1063056
nonary (9) 222546
undecimal (11) 91023
duodecimal (12) 65059
tridecimal (13) 48795
tetradecimal (14) 3672d
pentadecimal (15) 296a0

As an angle

133,125° = 369 × 360° + 285°
285° ≈ 4.974 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγρκεʹ
Mayan (base 20)
𝋰·𝋬·𝋰·𝋥
Chinese
一十三萬三千一百二十五
Chinese (financial)
壹拾參萬參仟壹佰貳拾伍
In other modern scripts
Eastern Arabic ١٣٣١٢٥ Devanagari १३३१२५ Bengali ১৩৩১২৫ Tamil ௧௩௩௧௨௫ Thai ๑๓๓๑๒๕ Tibetan ༡༣༣༡༢༥ Khmer ១៣៣១២៥ Lao ໑໓໓໑໒໕ Burmese ၁၃၃၁၂၅

Also seen as

Unicode codepoint
𠠅
CJK Unified Ideograph-20805
U+20805
Other letter (Lo)

UTF-8 encoding: F0 A0 A0 85 (4 bytes).

Hex color
#020805
RGB(2, 8, 5)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.5.

Address
0.2.8.5
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.5

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 133,125 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°.