152447402400 has 144 divisors (see below), whose sum is σ = 496341294624. Its totient is φ = 40642401280.

The previous prime is 152447402381. The next prime is 152447402411. The reversal of 152447402400 is 4204744251.

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 23 ways as a sum of consecutive naturals, for example, 17532454 + ... + 17541146.

It is an arithmetic number, because the mean of its divisors is an integer number (3446814546).

Almost surely, 2^152447402400 is an apocalyptic number.

152447402400 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 152447402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248170647312).

152447402400 is an abundant number, since it is smaller than the sum of its proper divisors (343893892224).

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

152447402400 is a wasteful number, since it uses less digits than its factorization.

152447402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16023 (or 16010 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 33.

The spelling of 152447402400 in words is "one hundred fifty-two billion, four hundred forty-seven million, four hundred two thousand, four hundred".