152904312 has 72 divisors (see below), whose sum is σ = 455211120. Its totient is φ = 46332000.

The previous prime is 152904287. The next prime is 152904329. The reversal of 152904312 is 213409251.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 64 + ... + 17487.

Almost surely, 2^152904312 is an apocalyptic number.

152904312 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 152904312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227605560).

152904312 is an abundant number, since it is smaller than the sum of its proper divisors (302306808).

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

152904312 is a wasteful number, since it uses less digits than its factorization.

With its successor (152904313) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (17567).

152904312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17585 (or 17567 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 152904312 is about 12365.4483137491. The cubic root of 152904312 is about 534.7366007683.

The spelling of 152904312 in words is "one hundred fifty-two million, nine hundred four thousand, three hundred twelve".