152573984800 has 72 divisors (see below), whose sum is σ = 372743650692. Its totient is φ = 60984960000.

The previous prime is 152573984749. The next prime is 152573984803. The reversal of 152573984800 is 8489375251.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 18901850256 + 133672134544 = 137484^2 + 365612^2 .

It is not an unprimeable number, because it can be changed into a prime (152573984803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1035750 + ... + 1173850.

Almost surely, 2^152573984800 is an apocalyptic number.

152573984800 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 152573984800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186371825346).

152573984800 is an abundant number, since it is smaller than the sum of its proper divisors (220169665892).

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

152573984800 is a wasteful number, since it uses less digits than its factorization.

152573984800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139502 (or 139489 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 52.

The spelling of 152573984800 in words is "one hundred fifty-two billion, five hundred seventy-three million, nine hundred eighty-four thousand, eight hundred".