156985920 has 336 divisors, whose sum is σ = 665683200. Its totient is φ = 33067008.

The previous prime is 156985889. The next prime is 156985937. The reversal of 156985920 is 29589651.

156985920 is a `hidden beast` number, since 1 + 56 + 9 + 8 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261781 + ... + 262379.

It is an arithmetic number, because the mean of its divisors is an integer number (1981200).

Almost surely, 2^156985920 is an apocalyptic number.

156985920 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 156985920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332841600).

156985920 is an abundant number, since it is smaller than the sum of its proper divisors (508697280).

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

156985920 is a wasteful number, since it uses less digits than its factorization.

156985920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 156985920 is about 12529.4022203775. The cubic root of 156985920 is about 539.4529439252.

The spelling of 156985920 in words is "one hundred fifty-six million, nine hundred eighty-five thousand, nine hundred twenty".