152919264 has 48 divisors (see below), whose sum is σ = 405191808. Its totient is φ = 50493312.

The previous prime is 152919241. The next prime is 152919269. The reversal of 152919264 is 462919251.

152919264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152919269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2829 + ... + 17715.

It is an arithmetic number, because the mean of its divisors is an integer number (8441496).

Almost surely, 2^152919264 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 152919264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202595904).

152919264 is an abundant number, since it is smaller than the sum of its proper divisors (252272544).

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

152919264 is a wasteful number, since it uses less digits than its factorization.

152919264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15007 (or 14999 counting only the distinct ones).

The product of its digits is 38880, while the sum is 39.

The square root of 152919264 is about 12366.0528868350. The cubic root of 152919264 is about 534.7540302333.

The spelling of 152919264 in words is "one hundred fifty-two million, nine hundred nineteen thousand, two hundred sixty-four".