113721525840 has 320 divisors, whose sum is σ = 402565234176. Its totient is φ = 26308509696.

The previous prime is 113721525829. The next prime is 113721525847. The reversal of 113721525840 is 48525127311.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113721525847) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 56380512 + ... + 56382528.

Almost surely, 2^113721525840 is an apocalyptic number.

113721525840 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 113721525840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201282617088).

113721525840 is an abundant number, since it is smaller than the sum of its proper divisors (288843708336).

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

113721525840 is a wasteful number, since it uses less digits than its factorization.

113721525840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3126 (or 3120 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The spelling of 113721525840 in words is "one hundred thirteen billion, seven hundred twenty-one million, five hundred twenty-five thousand, eight hundred forty".