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135168120 = 23325375467
BaseRepresentation
bin10000000111010…
…00000001111000
3100102100020210200
420003220001320
5234100334440
621225042200
73230624103
oct1003500170
9312306720
10135168120
116a33189a
1239326360
1322007c49
1413d4773a
15bceec30
hex80e8078

135168120 has 48 divisors (see below), whose sum is σ = 439297560. Its totient is φ = 36044736.

The previous prime is 135168119. The next prime is 135168133. The reversal of 135168120 is 21861531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 187374 + ... + 188093.

Almost surely, 2135168120 is an apocalyptic number.

135168120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135168120 is an abundant number, since it is smaller than the sum of its proper divisors (304129440).

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

135168120 is a wasteful number, since it uses less digits than its factorization.

135168120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375484 (or 375477 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 135168120 is about 11626.1825205009. The cubic root of 135168120 is about 513.2056446712.

The spelling of 135168120 in words is "one hundred thirty-five million, one hundred sixty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 375467 750934 1126401 1501868 1877335 2252802 3003736 3379203 3754670 4505604 5632005 6758406 7509340 9011208 11264010 13516812 15018680 16896015 22528020 27033624 33792030 45056040 67584060 135168120