152889504 has 96 divisors (see below), whose sum is σ = 426888000. Its totient is φ = 47775744.

The previous prime is 152889497. The next prime is 152889559. The reversal of 152889504 is 405988251.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198432 + ... + 199200.

It is an arithmetic number, because the mean of its divisors is an integer number (4446750).

Almost surely, 2^152889504 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 152889504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213444000).

152889504 is an abundant number, since it is smaller than the sum of its proper divisors (273998496).

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

152889504 is a wasteful number, since it uses less digits than its factorization.

152889504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The square root of 152889504 is about 12364.8495340623. The cubic root of 152889504 is about 534.7193380434.

The spelling of 152889504 in words is "one hundred fifty-two million, eight hundred eighty-nine thousand, five hundred four".