152956800 has 288 divisors, whose sum is σ = 562330080. Its totient is φ = 39567360.

The previous prime is 152956777. The next prime is 152956807. The reversal of 152956800 is 8659251.

It is a happy number.

152956800 is a `hidden beast` number, since 1 + 529 + 56 + 80 + 0 = 666.

152956800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152956807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1353544 + ... + 1353656.

It is an arithmetic number, because the mean of its divisors is an integer number (1952535).

Almost surely, 2^152956800 is an apocalyptic number.

152956800 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 152956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281165040).

152956800 is an abundant number, since it is smaller than the sum of its proper divisors (409373280).

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

152956800 is a wasteful number, since it uses less digits than its factorization.

152956800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 152956800 is about 12367.5704970702. The cubic root of 152956800 is about 534.7977807385.

The spelling of 152956800 in words is "one hundred fifty-two million, nine hundred fifty-six thousand, eight hundred".