113413872 has 240 divisors, whose sum is σ = 365976576. Its totient is φ = 29952000.

The previous prime is 113413849. The next prime is 113413873. The reversal of 113413872 is 278314311.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113413873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2766172 + ... + 2766212.

Almost surely, 2^113413872 is an apocalyptic number.

113413872 is a gapful number since it is divisible by the number (12) 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 113413872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182988288).

113413872 is an abundant number, since it is smaller than the sum of its proper divisors (252562704).

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

113413872 is a wasteful number, since it uses less digits than its factorization.

113413872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 101 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 113413872 is about 10649.5949218738. The cubic root of 113413872 is about 484.0483297594.

The spelling of 113413872 in words is "one hundred thirteen million, four hundred thirteen thousand, eight hundred seventy-two".