137,540
137,540 is a composite number, even.
137,540 (one hundred thirty-seven thousand five hundred forty) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 5 × 13 × 23². Its proper divisors sum to 187,624, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21944.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 20
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 45,731
- Recamán's sequence
- a(493,747) = 137,540
- Square (n²)
- 18,917,251,600
- Cube (n³)
- 2,601,878,785,064,000
- Divisor count
- 36
- σ(n) — sum of divisors
- 325,164
- φ(n) — Euler's totient
- 48,576
- Sum of prime factors
- 68
Primality
Prime factorization: 2 2 × 5 × 13 × 23 2
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,540 = [370; (1, 6, 2, 1, 8, 1, 2, 2, 2, 2, 2, 1, 8, 1, 2, 6, 1, 740)]
Period length 18 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-seven thousand five hundred forty
- Ordinal
- 137540th
- Binary
- 100001100101000100
- Octal
- 414504
- Hexadecimal
- 0x21944
- Base64
- AhlE
- One's complement
- 4,294,829,755 (32-bit)
- Scientific notation
- 1.3754 × 10⁵
- As a duration
- 137,540 s = 1 day, 14 hours, 12 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρλζφμʹ
- Mayan (base 20)
- 𝋱·𝋣·𝋱·𝋠
- Chinese
- 一十三萬七千五百四十
- Chinese (financial)
- 壹拾參萬柒仟伍佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137540, here are decompositions:
- 3 + 137537 = 137540
- 97 + 137443 = 137540
- 103 + 137437 = 137540
- 127 + 137413 = 137540
- 157 + 137383 = 137540
- 181 + 137359 = 137540
- 199 + 137341 = 137540
- 331 + 137209 = 137540
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 A5 84 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.68.
- Address
- 0.2.25.68
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.25.68
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 137,540 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.