156949920 has 192 divisors, whose sum is σ = 561738240. Its totient is φ = 40909824.

The previous prime is 156949913. The next prime is 156949997. The reversal of 156949920 is 29949651.

156949920 is a `hidden beast` number, since 156 + 9 + 499 + 2 + 0 = 666.

156949920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 202654 + ... + 203426.

It is an arithmetic number, because the mean of its divisors is an integer number (2925720).

Almost surely, 2^156949920 is an apocalyptic number.

156949920 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 156949920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280869120).

156949920 is an abundant number, since it is smaller than the sum of its proper divisors (404788320).

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

156949920 is a wasteful number, since it uses less digits than its factorization.

156949920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 156949920 is about 12527.9655171939. The cubic root of 156949920 is about 539.4117050025.

The spelling of 156949920 in words is "one hundred fifty-six million, nine hundred forty-nine thousand, nine hundred twenty".