152985024 has 112 divisors (see below), whose sum is σ = 455716640. Its totient is φ = 50948352.

The previous prime is 152984999. The next prime is 152985043. The reversal of 152985024 is 420589251.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 152985024.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 139422 + ... + 140514.

Almost surely, 2^152985024 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 152985024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227858320).

152985024 is an abundant number, since it is smaller than the sum of its proper divisors (302731616).

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

152985024 is an frugal number, since it uses more digits than its factorization.

152985024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 152985024 is about 12368.7114931184. The cubic root of 152985024 is about 534.8306728236.

The spelling of 152985024 in words is "one hundred fifty-two million, nine hundred eighty-five thousand, twenty-four".