137,536
137,536 is a composite number, even.
137,536 (one hundred thirty-seven thousand five hundred thirty-six) is an even 6-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 7 × 307. Its proper divisors sum to 175,392, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21940.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 25
- Digit product
- 1,890
- Digital root
- 7
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 635,731
- Recamán's sequence
- a(493,755) = 137,536
- Square (n²)
- 18,916,151,296
- Cube (n³)
- 2,601,651,784,646,656
- Divisor count
- 28
- σ(n) — sum of divisors
- 312,928
- φ(n) — Euler's totient
- 58,752
- Sum of prime factors
- 326
Primality
Prime factorization: 2 6 × 7 × 307
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,536 = [370; (1, 6, 15, 3, 4, 2, 1, 19, 1, 10, 2, 5, 1, 1, 1, 6, 1, 3, 3, 8, 1, 5, 1, 2, …)]
Representations
- In words
- one hundred thirty-seven thousand five hundred thirty-six
- Ordinal
- 137536th
- Binary
- 100001100101000000
- Octal
- 414500
- Hexadecimal
- 0x21940
- Base64
- AhlA
- One's complement
- 4,294,829,759 (32-bit)
- Scientific notation
- 1.37536 × 10⁵
- As a duration
- 137,536 s = 1 day, 14 hours, 12 minutes, 16 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλζφλϛʹ
- Mayan (base 20)
- 𝋱·𝋣·𝋰·𝋰
- Chinese
- 一十三萬七千五百三十六
- Chinese (financial)
- 壹拾參萬柒仟伍佰參拾陸
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137536, here are decompositions:
- 17 + 137519 = 137536
- 29 + 137507 = 137536
- 53 + 137483 = 137536
- 59 + 137477 = 137536
- 83 + 137453 = 137536
- 89 + 137447 = 137536
- 137 + 137399 = 137536
- 149 + 137387 = 137536
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 A5 80 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.64.
- Address
- 0.2.25.64
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.25.64
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 137,536 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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.