137,500
137,500 is a composite number, even.
137,500 (one hundred thirty-seven thousand five hundred) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 5⁵ × 11. Its proper divisors sum to 190,604, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2191C.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 16
- Digit product
- 0
- Digital root
- 7
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 5,731
- Square (n²)
- 18,906,250,000
- Cube (n³)
- 2,599,609,375,000,000
- Divisor count
- 36
- σ(n) — sum of divisors
- 328,104
- φ(n) — Euler's totient
- 50,000
- Sum of prime factors
- 40
Primality
Prime factorization: 2 2 × 5 5 × 11
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,500 = [370; (1, 4, 3, 1, 4, 1, 8, 1, 13, 1, 1, 1, 4, 10, 1, 1, 6, 1, 30, 29, 1, 1, 1, 2, …)]
Representations
- In words
- one hundred thirty-seven thousand five hundred
- Ordinal
- 137500th
- Binary
- 100001100100011100
- Octal
- 414434
- Hexadecimal
- 0x2191C
- Base64
- Ahkc
- One's complement
- 4,294,829,795 (32-bit)
- Scientific notation
- 1.375 × 10⁵
- As a duration
- 137,500 s = 1 day, 14 hours, 11 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢
- Greek (Milesian)
- ͵ρλζφʹ
- Mayan (base 20)
- 𝋱·𝋣·𝋯·𝋠
- Chinese
- 一十三萬七千五百
- Chinese (financial)
- 壹拾參萬柒仟伍佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137500, here are decompositions:
- 17 + 137483 = 137500
- 23 + 137477 = 137500
- 47 + 137453 = 137500
- 53 + 137447 = 137500
- 101 + 137399 = 137500
- 107 + 137393 = 137500
- 113 + 137387 = 137500
- 131 + 137369 = 137500
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 A4 9C (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.28.
- Address
- 0.2.25.28
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.25.28
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 137,500 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 137500 first appears in π at position 142,932 of the decimal expansion (the 142,932ordinal-suffix:nd 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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.