113509440 has 168 divisors, whose sum is σ = 426037248. Its totient is φ = 27509760.

The previous prime is 113509427. The next prime is 113509469. The reversal of 113509440 is 44905311.

113509440 is a `hidden beast` number, since 113 + 509 + 4 + 40 = 666.

It is a super-2 number, since 2×113509440² = 25768785938227200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29889 + ... + 33471.

It is an arithmetic number, because the mean of its divisors is an integer number (2535936).

Almost surely, 2^113509440 is an apocalyptic number.

113509440 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 113509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213018624).

113509440 is an abundant number, since it is smaller than the sum of its proper divisors (312527808).

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

113509440 is a wasteful number, since it uses less digits than its factorization.

113509440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3617 (or 3604 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 113509440 is about 10654.0809082717. The cubic root of 113509440 is about 484.1842524131.

The spelling of 113509440 in words is "one hundred thirteen million, five hundred nine thousand, four hundred forty".