135,168
135,168 is a composite number, even.
135,168 (one hundred thirty-five thousand one hundred sixty-eight) is an even 6-digit number. It is a composite number with 52 divisors, and factors as 2¹² × 3 × 11. Its proper divisors sum to 258,000, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21000.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 720
- Digital root
- 6
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 861,531
- Square (n²)
- 18,270,388,224
- Cube (n³)
- 2,469,571,835,461,632
- Divisor count
- 52
- σ(n) — sum of divisors
- 393,168
- φ(n) — Euler's totient
- 40,960
- Sum of prime factors
- 38
Primality
Prime factorization: 2 12 × 3 × 11
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√135,168 = [367; (1, 1, 1, 6, 1, 10, 1, 1, 1, 1, 1, 2, 4, 45, 1, 2, 1, 2, 8, 11, 2, 1, 2, 2, …)]
Period length 52 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-five thousand one hundred sixty-eight
- Ordinal
- 135168th
- Binary
- 100001000000000000
- Octal
- 410000
- Hexadecimal
- 0x21000
- Base64
- AhAA
- One's complement
- 4,294,832,127 (32-bit)
- Scientific notation
- 1.35168 × 10⁵
- As a duration
- 135,168 s = 1 day, 13 hours, 32 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλερξηʹ
- Mayan (base 20)
- 𝋰·𝋱·𝋲·𝋨
- Chinese
- 一十三萬五千一百六十八
- Chinese (financial)
- 壹拾參萬伍仟壹佰陸拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135168, here are decompositions:
- 17 + 135151 = 135168
- 37 + 135131 = 135168
- 67 + 135101 = 135168
- 79 + 135089 = 135168
- 109 + 135059 = 135168
- 139 + 135029 = 135168
- 149 + 135019 = 135168
- 151 + 135017 = 135168
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 80 80 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.16.0.
- Address
- 0.2.16.0
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.16.0
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 135,168 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°.