152656358400 has 1320 divisors, whose sum is σ = 696575103840. Its totient is φ = 32169000960.

The previous prime is 152656358383. The next prime is 152656358423. The reversal of 152656358400 is 4853656251.

152656358400 is a `hidden beast` number, since 1 + 5 + 2 + 6 + 5 + 63 + 584 + 0 + 0 = 666.

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 119 ways as a sum of consecutive naturals, for example, 188697196 + ... + 188698004.

It is an arithmetic number, because the mean of its divisors is an integer number (527708412).

Almost surely, 2^152656358400 is an apocalyptic number.

152656358400 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 152656358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348287551920).

152656358400 is an abundant number, since it is smaller than the sum of its proper divisors (543918745440).

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

152656358400 is a wasteful number, since it uses less digits than its factorization.

152656358400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 152656358400 in words is "one hundred fifty-two billion, six hundred fifty-six million, three hundred fifty-eight thousand, four hundred".