137,700
137,700 is a composite number, even.
137,700 (one hundred thirty-seven thousand seven hundred) is an even 6-digit number. It is a composite number with 90 divisors, and factors as 2² × 3⁴ × 5² × 17. Its proper divisors sum to 334,926, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x219E4.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 7,731
- Recamán's sequence
- a(493,427) = 137,700
- Square (n²)
- 18,961,290,000
- Cube (n³)
- 2,610,969,633,000,000
- Divisor count
- 90
- σ(n) — sum of divisors
- 472,626
- φ(n) — Euler's totient
- 34,560
- Sum of prime factors
- 43
Primality
Prime factorization: 2 2 × 3 4 × 5 2 × 17
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,700 = [371; (12, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 8, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 12, 742)]
Period length 24 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-seven thousand seven hundred
- Ordinal
- 137700th
- Binary
- 100001100111100100
- Octal
- 414744
- Hexadecimal
- 0x219E4
- Base64
- Ahnk
- One's complement
- 4,294,829,595 (32-bit)
- Scientific notation
- 1.377 × 10⁵
- As a duration
- 137,700 s = 1 day, 14 hours, 15 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢
- Greek (Milesian)
- ͵ρλζψʹ
- Mayan (base 20)
- 𝋱·𝋤·𝋥·𝋠
- Chinese
- 一十三萬七千七百
- Chinese (financial)
- 壹拾參萬柒仟柒佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137700, here are decompositions:
- 41 + 137659 = 137700
- 47 + 137653 = 137700
- 61 + 137639 = 137700
- 67 + 137633 = 137700
- 103 + 137597 = 137700
- 107 + 137593 = 137700
- 113 + 137587 = 137700
- 127 + 137573 = 137700
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 A7 A4 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.228.
- Address
- 0.2.25.228
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.25.228
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 137,700 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°.