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152135160 = 23352943717
BaseRepresentation
bin10010001000101…
…10010111111000
3101121021021012120
421010112113320
5302421311120
623032441240
73525061512
oct1104262770
9347237176
10152135160
1178970441
1242b49220
1325698a08
14162c2bb2
15d552140
hex91165f8

152135160 has 64 divisors (see below), whose sum is σ = 472154400. Its totient is φ = 39169536.

The previous prime is 152135117. The next prime is 152135183. The reversal of 152135160 is 61531251.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 152135160.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18379 + ... + 25338.

Almost surely, 2152135160 is an apocalyptic number.

152135160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152135160 is an abundant number, since it is smaller than the sum of its proper divisors (320019240).

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

152135160 is a wasteful number, since it uses less digits than its factorization.

152135160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43760 (or 43756 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 152135160 is about 12334.3082497560. The cubic root of 152135160 is about 533.8384676033.

The spelling of 152135160 in words is "one hundred fifty-two million, one hundred thirty-five thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 43717 87434 131151 174868 218585 262302 349736 437170 524604 655755 874340 1049208 1267793 1311510 1748680 2535586 2623020 3803379 5071172 5246040 6338965 7606758 10142344 12677930 15213516 19016895 25355860 30427032 38033790 50711720 76067580 152135160