152393688 has 24 divisors (see below), whose sum is σ = 412733100. Its totient is φ = 50797872.

The previous prime is 152393687. The next prime is 152393701. The reversal of 152393688 is 886393251.

It is a happy number.

152393688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×152393688² = 46447672284482688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152393687) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1058218 + ... + 1058361.

Almost surely, 2^152393688 is an apocalyptic number.

152393688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

152393688 is an abundant number, since it is smaller than the sum of its proper divisors (260339412).

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

152393688 is a wasteful number, since it uses less digits than its factorization.

152393688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2116591 (or 2116584 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 152393688 is about 12344.7838377187. The cubic root of 152393688 is about 534.1406859048.

The spelling of 152393688 in words is "one hundred fifty-two million, three hundred ninety-three thousand, six hundred eighty-eight".