113937280 has 64 divisors (see below), whose sum is σ = 277603200. Its totient is φ = 44701696.

The previous prime is 113937269. The next prime is 113937301. The reversal of 113937280 is 82739311.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32241 + ... + 35599.

It is an arithmetic number, because the mean of its divisors is an integer number (4337550).

Almost surely, 2^113937280 is an apocalyptic number.

113937280 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 113937280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138801600).

113937280 is an abundant number, since it is smaller than the sum of its proper divisors (163665920).

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

113937280 is an equidigital number, since it uses as much as digits as its factorization.

113937280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3431 (or 3419 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 113937280 is about 10674.1407148304. The cubic root of 113937280 is about 484.7918191099.

The spelling of 113937280 in words is "one hundred thirteen million, nine hundred thirty-seven thousand, two hundred eighty".