137,520
137,520 is a composite number, even.
137,520 (one hundred thirty-seven thousand five hundred twenty) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3² × 5 × 191. Its proper divisors sum to 326,736, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21930.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 25,731
- Recamán's sequence
- a(37,700) = 137,520
- Square (n²)
- 18,911,750,400
- Cube (n³)
- 2,600,743,915,008,000
- Divisor count
- 60
- σ(n) — sum of divisors
- 464,256
- φ(n) — Euler's totient
- 36,480
- Sum of prime factors
- 210
Primality
Prime factorization: 2 4 × 3 2 × 5 × 191
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,520 = [370; (1, 5, 7, 1, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 1, 7, 5, 1, 740)]
Period length 20 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-seven thousand five hundred twenty
- Ordinal
- 137520th
- Binary
- 100001100100110000
- Octal
- 414460
- Hexadecimal
- 0x21930
- Base64
- Ahkw
- One's complement
- 4,294,829,775 (32-bit)
- Scientific notation
- 1.3752 × 10⁵
- As a duration
- 137,520 s = 1 day, 14 hours, 12 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρλζφκʹ
- Mayan (base 20)
- 𝋱·𝋣·𝋰·𝋠
- Chinese
- 一十三萬七千五百二十
- Chinese (financial)
- 壹拾參萬柒仟伍佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137520, here are decompositions:
- 13 + 137507 = 137520
- 29 + 137491 = 137520
- 37 + 137483 = 137520
- 43 + 137477 = 137520
- 67 + 137453 = 137520
- 73 + 137447 = 137520
- 83 + 137437 = 137520
- 107 + 137413 = 137520
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 A4 B0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.48.
- Address
- 0.2.25.48
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.25.48
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 137,520 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 137520 first appears in π at position 674,101 of the decimal expansion (the 674,101ordinal-suffix:st 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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.