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128,137

128,137 is a composite number, 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.).

128,137 (one hundred twenty-eight thousand one hundred thirty-seven) is an odd 6-digit number. It is a composite number with 4 divisors, and factors as 97 × 1,321. Written other ways, in hexadecimal, 0x1F489.

Arithmetic Number Cube-Free Deficient Number Odious Number Recamán's Sequence Semiprime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
22
Digit product
336
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
731,821
Recamán's sequence
a(32,558) = 128,137
Square (n²)
16,419,090,769
Cube (n³)
2,103,893,033,867,353
Divisor count
4
σ(n) — sum of divisors
129,556
φ(n) — Euler's totient
126,720
Sum of prime factors
1,418

Primality

Prime factorization: 97 × 1321

Nearest primes: 128,119 (−18) · 128,147 (+10)

Divisors & multiples

All divisors (4)
1 · 97 · 1321 · 128137
Aliquot sum (sum of proper divisors): 1,419
Factor pairs (a × b = 128,137)
1 × 128137
97 × 1321
First multiples
128,137 · 256,274 (double) · 384,411 · 512,548 · 640,685 · 768,822 · 896,959 · 1,025,096 · 1,153,233 · 1,281,370

Sums & aliquot sequence

As a sum of two squares: 99² + 344² = 189² + 304²
As consecutive integers: 64,068 + 64,069 1,273 + 1,274 + … + 1,369 564 + 565 + … + 757
Aliquot sequence: 128,137 1,419 693 555 357 219 77 19 1 0 — terminates at zero

Continued fraction of √n

√128,137 = [357; (1, 25, 1, 1, 14, 9, 1, 6, 1, 28, 1, 22, 7, 1, 4, 1, 2, 14, 1, 1, 3, 1, 1, 4, …)]

Representations

In words
one hundred twenty-eight thousand one hundred thirty-seven
Ordinal
128137th
Binary
11111010010001001
Octal
372211
Hexadecimal
0x1F489
Base64
AfSJ
One's complement
4,294,839,158 (32-bit)
Scientific notation
1.28137 × 10⁵
As a duration
128,137 s = 1 day, 11 hours, 35 minutes, 37 seconds
In other bases
ternary (3) 20111202211
quaternary (4) 133102021
quinary (5) 13100022
senary (6) 2425121
septenary (7) 1042402
nonary (9) 214684
undecimal (11) 882a9
duodecimal (12) 621a1
tridecimal (13) 46429
tetradecimal (14) 349a9
pentadecimal (15) 27e77

As an angle

128,137° = 355 × 360° + 337°
337° ≈ 5.882 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκηρλζʹ
Mayan (base 20)
𝋰·𝋠·𝋦·𝋱
Chinese
一十二萬八千一百三十七
Chinese (financial)
壹拾貳萬捌仟壹佰參拾柒
In other modern scripts
Eastern Arabic ١٢٨١٣٧ Devanagari १२८१३७ Bengali ১২৮১৩৭ Tamil ௧௨௮௧௩௭ Thai ๑๒๘๑๓๗ Tibetan ༡༢༨༡༣༧ Khmer ១២៨១៣៧ Lao ໑໒໘໑໓໗ Burmese ၁၂၈၁၃၇

Also seen as

Unicode codepoint
💉
Syringe
U+1F489
Other symbol (So)

UTF-8 encoding: F0 9F 92 89 (4 bytes).

Hex color
#01F489
RGB(1, 244, 137)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.244.137.

Address
0.1.244.137
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.244.137

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 128,137 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 128137 first appears in π at position 179,471 of the decimal expansion (the 179,471ordinal-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