152788036800 has 1008 divisors, whose sum is σ = 608388956448. Its totient is φ = 33443020800.

The previous prime is 152788036777. The next prime is 152788036811. The reversal of 152788036800 is 8630887251.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 152788036800.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 844132710 + ... + 844132890.

Almost surely, 2^152788036800 is an apocalyptic number.

152788036800 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 152788036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304194478224).

152788036800 is an abundant number, since it is smaller than the sum of its proper divisors (455600919648).

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

152788036800 is a wasteful number, since it uses less digits than its factorization.

152788036800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 152788036800 in words is "one hundred fifty-two billion, seven hundred eighty-eight million, thirty-six thousand, eight hundred".