152768400 has 120 divisors (see below), whose sum is σ = 497628864. Its totient is φ = 40051200.

The previous prime is 152768393. The next prime is 152768423. The reversal of 152768400 is 4867251.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72157 + ... + 74243.

Almost surely, 2^152768400 is an apocalyptic number.

152768400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152768400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248814432).

152768400 is an abundant number, since it is smaller than the sum of its proper divisors (344860464).

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

152768400 is a wasteful number, since it uses less digits than its factorization.

152768400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2169 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 152768400 is about 12359.9514562154. The cubic root of 152768400 is about 534.5781167594.

The spelling of 152768400 in words is "one hundred fifty-two million, seven hundred sixty-eight thousand, four hundred".