137,088
137,088 is a composite number, even.
137,088 (one hundred thirty-seven thousand eighty-eight) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2⁷ × 3² × 7 × 17. Its proper divisors sum to 340,272, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21780.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 27
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 880,731
- Square (n²)
- 18,793,119,744
- Cube (n³)
- 2,576,311,199,465,472
- Divisor count
- 96
- σ(n) — sum of divisors
- 477,360
- φ(n) — Euler's totient
- 36,864
- Sum of prime factors
- 44
Primality
Prime factorization: 2 7 × 3 2 × 7 × 17
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,088 = [370; (3, 1, 15, 185, 15, 1, 3, 740)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-seven thousand eighty-eight
- Ordinal
- 137088th
- Binary
- 100001011110000000
- Octal
- 413600
- Hexadecimal
- 0x21780
- Base64
- AheA
- One's complement
- 4,294,830,207 (32-bit)
- Scientific notation
- 1.37088 × 10⁵
- As a duration
- 137,088 s = 1 day, 14 hours, 4 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλζπηʹ
- Mayan (base 20)
- 𝋱·𝋢·𝋮·𝋨
- Chinese
- 一十三萬七千零八十八
- Chinese (financial)
- 壹拾參萬柒仟零捌拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137088, here are decompositions:
- 11 + 137077 = 137088
- 59 + 137029 = 137088
- 89 + 136999 = 137088
- 97 + 136991 = 137088
- 101 + 136987 = 137088
- 109 + 136979 = 137088
- 137 + 136951 = 137088
- 139 + 136949 = 137088
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 9E 80 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.128.
- Address
- 0.2.23.128
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.23.128
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 137,088 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°.