152331264 has 66 divisors (see below), whose sum is σ = 439879830. Its totient is φ = 50774016.

The previous prime is 152331199. The next prime is 152331269. The reversal of 152331264 is 462133251.

152331264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 148644864 + 3686400 = 12192^2 + 1920^2 .

It is not an unprimeable number, because it can be changed into a prime (152331269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 952 + ... + 17480.

Almost surely, 2^152331264 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 152331264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219939915).

152331264 is an abundant number, since it is smaller than the sum of its proper divisors (287548566).

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

152331264 is a wasteful number, since it uses less digits than its factorization.

152331264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16555 (or 16534 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 152331264 is about 12342.2552234184. The cubic root of 152331264 is about 534.0677437938.

The spelling of 152331264 in words is "one hundred fifty-two million, three hundred thirty-one thousand, two hundred sixty-four".