152952614400 has 240 divisors, whose sum is σ = 531865065600. Its totient is φ = 38640476160.

The previous prime is 152952614357. The next prime is 152952614413. The reversal of 152952614400 is 4416259251.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 624781 + ... + 834419.

It is an arithmetic number, because the mean of its divisors is an integer number (2216104440).

Almost surely, 2^152952614400 is an apocalyptic number.

152952614400 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 152952614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265932532800).

152952614400 is an abundant number, since it is smaller than the sum of its proper divisors (378912451200).

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

152952614400 is a wasteful number, since it uses less digits than its factorization.

152952614400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209689 (or 209668 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 152952614400 in words is "one hundred fifty-two billion, nine hundred fifty-two million, six hundred fourteen thousand, four hundred".