152460864 has 84 divisors (see below), whose sum is σ = 460034640. Its totient is φ = 48142080.

The previous prime is 152460853. The next prime is 152460871. The reversal of 152460864 is 468064251.

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

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 11 ways as a sum of consecutive naturals, for example, 3979 + ... + 17909.

Almost surely, 2^152460864 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 152460864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230017320).

152460864 is an abundant number, since it is smaller than the sum of its proper divisors (307573776).

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

152460864 is a wasteful number, since it uses less digits than its factorization.

152460864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13968 (or 13955 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 152460864 is about 12347.5043632307. The cubic root of 152460864 is about 534.2191584545.

The spelling of 152460864 in words is "one hundred fifty-two million, four hundred sixty thousand, eight hundred sixty-four".