152856412800 has 768 divisors, whose sum is σ = 636538425600. Its totient is φ = 31372738560.

The previous prime is 152856412717. The next prime is 152856412811. The reversal of 152856412800 is 8214658251.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32320836 + ... + 32325564.

It is an arithmetic number, because the mean of its divisors is an integer number (828826075).

Almost surely, 2^152856412800 is an apocalyptic number.

152856412800 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 152856412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318269212800).

152856412800 is an abundant number, since it is smaller than the sum of its proper divisors (483682012800).

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

152856412800 is a wasteful number, since it uses less digits than its factorization.

152856412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4813 (or 4796 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 42.

The spelling of 152856412800 in words is "one hundred fifty-two billion, eight hundred fifty-six million, four hundred twelve thousand, eight hundred".