113152385520 has 240 divisors, whose sum is σ = 384287904000. Its totient is φ = 29834956800.

The previous prime is 113152385503. The next prime is 113152385531. The reversal of 113152385520 is 25583251311.

113152385520 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 52 + 3 + 85 + 520 = 666.

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 (36).

It is a congruent number.

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, 47165281 + ... + 47167679.

It is an arithmetic number, because the mean of its divisors is an integer number (1601199600).

Almost surely, 2^113152385520 is an apocalyptic number.

113152385520 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 113152385520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192143952000).

113152385520 is an abundant number, since it is smaller than the sum of its proper divisors (271135518480).

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

113152385520 is a wasteful number, since it uses less digits than its factorization.

113152385520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3128 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 113152385520 in words is "one hundred thirteen billion, one hundred fifty-two million, three hundred eighty-five thousand, five hundred twenty".