152085772800 has 480 divisors, whose sum is σ = 601187146560. Its totient is φ = 37435392000.

The previous prime is 152085772789. The next prime is 152085772843. The reversal of 152085772800 is 8277580251.

152085772800 is a `hidden beast` number, since 1 + 52 + 0 + 8 + 577 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4475875 + ... + 4509725.

It is an arithmetic number, because the mean of its divisors is an integer number (1252473222).

Almost surely, 2^152085772800 is an apocalyptic number.

152085772800 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 152085772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300593573280).

152085772800 is an abundant number, since it is smaller than the sum of its proper divisors (449101373760).

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

152085772800 is a wasteful number, since it uses less digits than its factorization.

152085772800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33901 (or 33874 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The spelling of 152085772800 in words is "one hundred fifty-two billion, eighty-five million, seven hundred seventy-two thousand, eight hundred".