135148800
135,148,800 is an even composite number composed of four prime numbers multiplied together.
135148800 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred eight divisors.
Prime factorization of 135148800:
28 × 3 × 52 × 7039
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7039)See below for interesting mathematical facts about the number 135148800 from the Numbermatics database.
Names of 135148800
- Cardinal: 135148800 can be written as One hundred thirty-five million, one hundred forty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.351488 × 108
Factors of 135148800
Divisors of 135148800
- Number of divisors d(n): 108
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 256 300 320 384 400 480 600 640 768 800 960 1200 1280 1600 1920 2400 3200 3840 4800 6400 7039 9600 14078 19200 21117 28156 35195 42234 56312 70390 84468 105585 112624 140780 168936 175975 211170 225248 281560 337872 351950 422340 450496 527925 563120 675744 703900 844680 900992 1055850 1126240 1351488 1407800 1689360 1801984 2111700 2252480 2702976 2815600 3378720 4223400 4504960 5405952 5631200 6757440 8446800 9009920 11262400 13514880 16893600 22524800 27029760 33787200 45049600 67574400 135148800
- Sum of all divisors σ(n): 446082560
- Sum of proper divisors (its aliquot sum) s(n): 310933760
- 135148800 is an abundant number, because the sum of its proper divisors (310933760) is greater than itself. Its abundance is 175784960
Bases of 135148800
- Binary: 10000000111000110101000000002
- Hexadecimal: 0x80E3500
- Base-36: 28GPHC
Squares and roots of 135148800
- 135148800 squared (1351488002) is 18265198141440000
- 135148800 cubed (1351488003) is 2468519610577846272000000
-
The
square root of 135148800 is 11625.3516075859 -
The
cube root of 135148800 is 513.1811921461
Scales and comparisons
How big is 135148800?- 135,148,800 seconds is equal to 4 years, 15 weeks, 3 days, 5 hours, 20 minutes.
-
To count from 1 to 135,148,800 would take you about six years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 135148800 cubic inches would be around 42.8 feet tall.
Recreational maths with 135148800
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