156936960 has 288 divisors, whose sum is σ = 588672000. Its totient is φ = 39481344.

The previous prime is 156936937. The next prime is 156937003. The reversal of 156936960 is 69639651.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 656521 + ... + 656759.

It is an arithmetic number, because the mean of its divisors is an integer number (2044000).

Almost surely, 2^156936960 is an apocalyptic number.

156936960 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 156936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294336000).

156936960 is an abundant number, since it is smaller than the sum of its proper divisors (431735040).

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

156936960 is a wasteful number, since it uses less digits than its factorization.

156936960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 156936960 is about 12527.4482637128. The cubic root of 156936960 is about 539.3968574466.

The spelling of 156936960 in words is "one hundred fifty-six million, nine hundred thirty-six thousand, nine hundred sixty".