152382320 has 40 divisors (see below), whose sum is σ = 357747936. Its totient is φ = 60357888.

The previous prime is 152382311. The next prime is 152382359. The reversal of 152382320 is 23283251.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 152382320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1007 + ... + 17486.

Almost surely, 2^152382320 is an apocalyptic number.

152382320 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 152382320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178873968).

152382320 is an abundant number, since it is smaller than the sum of its proper divisors (205365616).

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

152382320 is a wasteful number, since it uses less digits than its factorization.

152382320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18609 (or 18603 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 152382320 is about 12344.3233917457. The cubic root of 152382320 is about 534.1274039411.

The spelling of 152382320 in words is "one hundred fifty-two million, three hundred eighty-two thousand, three hundred twenty".