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135157120 = 275730169
BaseRepresentation
bin10000000111001…
…01010110000000
3100102022200201021
420003211112000
5234100011440
621224515224
73230550040
oct1003452600
9312280637
10135157120
116a3245aa
123931bb14
1322002c37
1413d43720
15bceb84a
hex80e5580

135157120 has 64 divisors (see below), whose sum is σ = 369280800. Its totient is φ = 46338048.

The previous prime is 135157111. The next prime is 135157147. The reversal of 135157120 is 21751531.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10605 + ... + 19564.

Almost surely, 2135157120 is an apocalyptic number.

135157120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135157120 is an abundant number, since it is smaller than the sum of its proper divisors (234123680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135157120 is an equidigital number, since it uses as much as digits as its factorization.

135157120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30195 (or 30183 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 25.

The square root of 135157120 is about 11625.7094407180. The cubic root of 135157120 is about 513.1917227118.

The spelling of 135157120 in words is "one hundred thirty-five million, one hundred fifty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 30169 60338 120676 150845 211183 241352 301690 422366 482704 603380 844732 965408 1055915 1206760 1689464 1930816 2111830 2413520 3378928 3861632 4223660 4827040 6757856 8447320 9654080 13515712 16894640 19308160 27031424 33789280 67578560 135157120