151656960 has 480 divisors, whose sum is σ = 626959872. Its totient is φ = 30965760.

The previous prime is 151656943. The next prime is 151656971. The reversal of 151656960 is 69656151.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4892145 + ... + 4892175.

Almost surely, 2^151656960 is an apocalyptic number.

151656960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151656960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313479936).

151656960 is an abundant number, since it is smaller than the sum of its proper divisors (475302912).

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

151656960 is a wasteful number, since it uses less digits than its factorization.

151656960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 39.

The square root of 151656960 is about 12314.9080386335. The cubic root of 151656960 is about 533.2785499285.

The spelling of 151656960 in words is "one hundred fifty-one million, six hundred fifty-six thousand, nine hundred sixty".