152393232 has 80 divisors (see below), whose sum is σ = 412205760. Its totient is φ = 48462336.

The previous prime is 152393221. The next prime is 152393237. The reversal of 152393232 is 232393251.

It is a super-3 number, since 3×152393232³ (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 152393232.

It is not an unprimeable number, because it can be changed into a prime (152393237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93319 + ... + 94937.

It is an arithmetic number, because the mean of its divisors is an integer number (5152572).

Almost surely, 2^152393232 is an apocalyptic number.

152393232 is a gapful number since it is divisible by the number (12) 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 152393232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206102880).

152393232 is an abundant number, since it is smaller than the sum of its proper divisors (259812528).

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

152393232 is a wasteful number, since it uses less digits than its factorization.

152393232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 1714 counting only the distinct ones).

The product of its digits is 9720, while the sum is 30.

The square root of 152393232 is about 12344.7653683657. The cubic root of 152393232 is about 534.1401531434.

The spelling of 152393232 in words is "one hundred fifty-two million, three hundred ninety-three thousand, two hundred thirty-two".