152393904 has 120 divisors (see below), whose sum is σ = 463636992. Its totient is φ = 46448640.

The previous prime is 152393867. The next prime is 152393909. The reversal of 152393904 is 409393251.

It is a happy number.

It is a super-2 number, since 2×152393904² = 46447803952722432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (152393909) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 237424 + ... + 238064.

Almost surely, 2^152393904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152393904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231818496).

152393904 is an abundant number, since it is smaller than the sum of its proper divisors (311243088).

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

152393904 is a wasteful number, since it uses less digits than its factorization.

152393904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 152393904 is about 12344.7925863499. The cubic root of 152393904 is about 534.1409382650.

The spelling of 152393904 in words is "one hundred fifty-two million, three hundred ninety-three thousand, nine hundred four".