152056800 has 324 divisors, whose sum is σ = 625178736. Its totient is φ = 34675200.

The previous prime is 152056799. The next prime is 152056811. The reversal of 152056800 is 8650251.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 352585 + ... + 353015.

It is an arithmetic number, because the mean of its divisors is an integer number (1929564).

Almost surely, 2^152056800 is an apocalyptic number.

152056800 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 152056800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312589368).

152056800 is an abundant number, since it is smaller than the sum of its proper divisors (473121936).

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

152056800 is a wasteful number, since it uses less digits than its factorization.

152056800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 152056800 is about 12331.1313349587. The cubic root of 152056800 is about 533.7467974367.

The spelling of 152056800 in words is "one hundred fifty-two million, fifty-six thousand, eight hundred".