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155,137

155,137 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.).

155,137 (one hundred fifty-five thousand one hundred thirty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x25E01.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
22
Digit product
525
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
731,551
Recamán's sequence
a(477,845) = 155,137
Square (n²)
24,067,488,769
Cube (n³)
3,733,758,005,156,353
Divisor count
2
σ(n) — sum of divisors
155,138
φ(n) — Euler's totient
155,136

Primality

155,137 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 155137
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 155,137)
1 × 155137
First multiples
155,137 · 310,274 (double) · 465,411 · 620,548 · 775,685 · 930,822 · 1,085,959 · 1,241,096 · 1,396,233 · 1,551,370

Sums & aliquot sequence

As a sum of two squares: 276² + 281²
As consecutive integers: 77,568 + 77,569

Continued fraction of √n

√155,137 = [393; (1, 6, 1, 22, 1, 261, 1, 1, 1, 1, 1, 70, 1, 86, 1, 1, 5, 1, 1, 23, 3, 28, 1, 5, …)]

Representations

In words
one hundred fifty-five thousand one hundred thirty-seven
Ordinal
155137th
Binary
100101111000000001
Octal
457001
Hexadecimal
0x25E01
Base64
Al4B
One's complement
4,294,812,158 (32-bit)
Scientific notation
1.55137 × 10⁵
As a duration
155,137 s = 1 day, 19 hours, 5 minutes, 37 seconds
In other bases
ternary (3) 21212210211
quaternary (4) 211320001
quinary (5) 14431022
senary (6) 3154121
septenary (7) 1214203
nonary (9) 255724
undecimal (11) a6614
duodecimal (12) 75941
tridecimal (13) 557c8
tetradecimal (14) 40773
pentadecimal (15) 30e77

As an angle

155,137° = 430 × 360° + 337°
337° ≈ 5.882 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρνερλζʹ
Mayan (base 20)
𝋳·𝋧·𝋰·𝋱
Chinese
一十五萬五千一百三十七
Chinese (financial)
壹拾伍萬伍仟壹佰參拾柒
In other modern scripts
Eastern Arabic ١٥٥١٣٧ Devanagari १५५१३७ Bengali ১৫৫১৩৭ Tamil ௧௫௫௧௩௭ Thai ๑๕๕๑๓๗ Tibetan ༡༥༥༡༣༧ Khmer ១៥៥១៣៧ Lao ໑໕໕໑໓໗ Burmese ၁၅၅၁၃၇

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𥸁
CJK Unified Ideograph-25E01
U+25E01
Other letter (Lo)

UTF-8 encoding: F0 A5 B8 81 (4 bytes).

Hex color
#025E01
RGB(2, 94, 1)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.94.1.

Address
0.2.94.1
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.94.1

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 155,137 and was likely granted around 1873.

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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.