152904 has 32 divisors (see below), whose sum is σ = 400320. Its totient is φ = 48576.

The previous prime is 152899. The next prime is 152909. The reversal of 152904 is 409251.

It is an interprime number because it is at equal distance from previous prime (152899) and next prime (152909).

It is not an unprimeable number, because it can be changed into a prime (152909) by changing a digit.

152904 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 414 + ... + 690.

It is an arithmetic number, because the mean of its divisors is an integer number (12510).

2¹⁵²⁹⁰⁴ 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 152904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200160).

152904 is an abundant number, since it is smaller than the sum of its proper divisors (247416).

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

152904 is a wasteful number, since it uses less digits than its factorization.

152904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 152904 is about 391.0294106586. The cubic root of 152904 is about 53.4736237060.

The spelling of 152904 in words is "one hundred fifty-two thousand, nine hundred four".