137,456
137,456 is a composite number, even.
137,456 (one hundred thirty-seven thousand four hundred fifty-six) is an even 6-digit number. It is a composite number with 30 divisors, and factors as 2⁴ × 11² × 71. Its proper divisors sum to 159,400, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x218F0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 26
- Digit product
- 2,520
- Digital root
- 8
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 654,731
- Square (n²)
- 18,894,151,936
- Cube (n³)
- 2,597,114,548,514,816
- Divisor count
- 30
- σ(n) — sum of divisors
- 296,856
- φ(n) — Euler's totient
- 61,600
- Sum of prime factors
- 101
Primality
Prime factorization: 2 4 × 11 2 × 71
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,456 = [370; (1, 3, 105, 1, 2, 8, 1, 14, 4, 5, 1, 7, 2, 29, 5, 3, 1, 4, 4, 36, 1, 5, 6, 2, …)]
Period length 56 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-seven thousand four hundred fifty-six
- Ordinal
- 137456th
- Binary
- 100001100011110000
- Octal
- 414360
- Hexadecimal
- 0x218F0
- Base64
- Ahjw
- One's complement
- 4,294,829,839 (32-bit)
- Scientific notation
- 1.37456 × 10⁵
- As a duration
- 137,456 s = 1 day, 14 hours, 10 minutes, 56 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλζυνϛʹ
- Mayan (base 20)
- 𝋱·𝋣·𝋬·𝋰
- Chinese
- 一十三萬七千四百五十六
- Chinese (financial)
- 壹拾參萬柒仟肆佰伍拾陸
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137456, here are decompositions:
- 3 + 137453 = 137456
- 13 + 137443 = 137456
- 19 + 137437 = 137456
- 43 + 137413 = 137456
- 73 + 137383 = 137456
- 97 + 137359 = 137456
- 103 + 137353 = 137456
- 313 + 137143 = 137456
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 A3 B0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.240.
- Address
- 0.2.24.240
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.24.240
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 137,456 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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.