152360768 has 56 divisors (see below), whose sum is σ = 347472000. Its totient is φ = 64931328.

The previous prime is 152360731. The next prime is 152360773. The reversal of 152360768 is 867063251.

It is a tau number, because it is divible by the number of its divisors (56).

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 7 ways as a sum of consecutive naturals, for example, 88298 + ... + 90006.

Almost surely, 2^152360768 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 152360768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173736000).

152360768 is an abundant number, since it is smaller than the sum of its proper divisors (195111232).

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

152360768 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (152360767) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (1917).

152360768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1927 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 152360768 is about 12343.4504090226. The cubic root of 152360768 is about 534.1022215433.

The spelling of 152360768 in words is "one hundred fifty-two million, three hundred sixty thousand, seven hundred sixty-eight".