133,152
133,152 is a composite number, even.
133,152 (one hundred thirty-three thousand one hundred fifty-two) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 19 × 73. Its proper divisors sum to 239,808, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20820.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 90
- Digital root
- 6
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 251,331
- Square (n²)
- 17,729,455,104
- Cube (n³)
- 2,360,712,406,007,808
- Divisor count
- 48
- σ(n) — sum of divisors
- 372,960
- φ(n) — Euler's totient
- 41,472
- Sum of prime factors
- 105
Primality
Prime factorization: 2 5 × 3 × 19 × 73
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√133,152 = [364; (1, 8, 1, 728)]
Period length 4 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-three thousand one hundred fifty-two
- Ordinal
- 133152nd
- Binary
- 100000100000100000
- Octal
- 404040
- Hexadecimal
- 0x20820
- Base64
- Aggg
- One's complement
- 4,294,834,143 (32-bit)
- Scientific notation
- 1.33152 × 10⁵
- As a duration
- 133,152 s = 1 day, 12 hours, 59 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ρλγρνβʹ
- Mayan (base 20)
- 𝋰·𝋬·𝋱·𝋬
- Chinese
- 一十三萬三千一百五十二
- Chinese (financial)
- 壹拾參萬參仟壹佰伍拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133152, here are decompositions:
- 31 + 133121 = 133152
- 43 + 133109 = 133152
- 79 + 133073 = 133152
- 83 + 133069 = 133152
- 101 + 133051 = 133152
- 113 + 133039 = 133152
- 139 + 133013 = 133152
- 163 + 132989 = 133152
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 A0 A0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.32.
- Address
- 0.2.8.32
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.8.32
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 133,152 and was likely granted around 1872.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 133152 first appears in π at position 203,791 of the decimal expansion (the 203,791ordinal-suffix:st 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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.