152525264624400 has 240 divisors, whose sum is σ = 506344661956800. Its totient is φ = 39200363489280.

The previous prime is 152525264624399. The next prime is 152525264624417. The reversal of 152525264624400 is 4426462525251.

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

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 152525264624400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15449211 + ... + 23317989.

It is an arithmetic number, because the mean of its divisors is an integer number (2109769424820).

Almost surely, 2^{152525264624400} is an apocalyptic number.

152525264624400 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 152525264624400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253172330978400).

152525264624400 is an abundant number, since it is smaller than the sum of its proper divisors (353819397332400).

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

152525264624400 is a wasteful number, since it uses less digits than its factorization.

152525264624400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7869386 (or 7869375 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 48.

The spelling of 152525264624400 in words is "one hundred fifty-two trillion, five hundred twenty-five billion, two hundred sixty-four million, six hundred twenty-four thousand, four hundred".