152519920 has 160 divisors (see below), whose sum is σ = 441721728. Its totient is φ = 47775744.

The previous prime is 152519893. The next prime is 152519921. The reversal of 152519920 is 29915251.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152519921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 352024 + ... + 352456.

Almost surely, 2^152519920 is an apocalyptic number.

152519920 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 152519920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220860864).

152519920 is an abundant number, since it is smaller than the sum of its proper divisors (289201808).

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

152519920 is a wasteful number, since it uses less digits than its factorization.

152519920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 34.

The square root of 152519920 is about 12349.8955461170. The cubic root of 152519920 is about 534.2881264794.

The spelling of 152519920 in words is "one hundred fifty-two million, five hundred nineteen thousand, nine hundred twenty".