113745639128940 has 720 divisors, whose sum is σ = 451112101070400. Its totient is φ = 23778881344512.

The previous prime is 113745639128939. The next prime is 113745639128951. The reversal of 113745639128940 is 49821936547311.

113745639128940 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 4 + 563 + 9 + 1 + 28 + 9 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 111975841 + ... + 112987079.

It is an arithmetic number, because the mean of its divisors is an integer number (626544584820).

It is a 1-persistent number, because it is pandigital, but 2⋅113745639128940 = 227491278257880 is not.

Almost surely, 2^{113745639128940} is an apocalyptic number.

113745639128940 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 113745639128940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225556050535200).

113745639128940 is an abundant number, since it is smaller than the sum of its proper divisors (337366461941460).

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

113745639128940 is a wasteful number, since it uses less digits than its factorization.

113745639128940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011396 (or 1011378 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 113745639128940 in words is "one hundred thirteen trillion, seven hundred forty-five billion, six hundred thirty-nine million, one hundred twenty-eight thousand, nine hundred forty".