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137,519

137,519 is a prime, odd.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

137,519 (one hundred thirty-seven thousand five hundred nineteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2192F.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Odious Number Prime Recamán's Sequence Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
26
Digit product
945
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
915,731
Recamán's sequence
a(37,702) = 137,519
Square (n²)
18,911,475,361
Cube (n³)
2,600,687,180,169,359
Divisor count
2
σ(n) — sum of divisors
137,520
φ(n) — Euler's totient
137,518

Primality

137,519 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 137519
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 137,519)
1 × 137519
First multiples
137,519 · 275,038 (double) · 412,557 · 550,076 · 687,595 · 825,114 · 962,633 · 1,100,152 · 1,237,671 · 1,375,190

Sums & aliquot sequence

As consecutive integers: 68,759 + 68,760

Continued fraction of √n

√137,519 = [370; (1, 5, 12, 2, 2, 9, 1, 1, 1, 1, 1, 2, 6, 14, 1, 2, 10, 1, 2, 1, 2, 4, 1, 3, …)]

Representations

In words
one hundred thirty-seven thousand five hundred nineteen
Ordinal
137519th
Binary
100001100100101111
Octal
414457
Hexadecimal
0x2192F
Base64
Ahkv
One's complement
4,294,829,776 (32-bit)
Scientific notation
1.37519 × 10⁵
As a duration
137,519 s = 1 day, 14 hours, 11 minutes, 59 seconds
In other bases
ternary (3) 20222122022
quaternary (4) 201210233
quinary (5) 13400034
senary (6) 2540355
septenary (7) 1111634
nonary (9) 228568
undecimal (11) 94358
duodecimal (12) 676bb
tridecimal (13) 4a795
tetradecimal (14) 3818b
pentadecimal (15) 2ab2e

As an angle

137,519° = 381 × 360° + 359°
359° ≈ 6.266 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζφιθʹ
Mayan (base 20)
𝋱·𝋣·𝋯·𝋳
Chinese
一十三萬七千五百一十九
Chinese (financial)
壹拾參萬柒仟伍佰壹拾玖
In other modern scripts
Eastern Arabic ١٣٧٥١٩ Devanagari १३७५१९ Bengali ১৩৭৫১৯ Tamil ௧௩௭௫௧௯ Thai ๑๓๗๕๑๙ Tibetan ༡༣༧༥༡༩ Khmer ១៣៧៥១៩ Lao ໑໓໗໕໑໙ Burmese ၁၃၇၅၁၉

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𡤯
CJK Unified Ideograph-2192F
U+2192F
Other letter (Lo)

UTF-8 encoding: F0 A1 A4 AF (4 bytes).

Hex color
#02192F
RGB(2, 25, 47)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.47.

Address
0.2.25.47
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.25.47

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 137,519 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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.