113817504 has 48 divisors (see below), whose sum is σ = 300367872. Its totient is φ = 37736448.

The previous prime is 113817497. The next prime is 113817541. The reversal of 113817504 is 405718311.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 15457 + ... + 21599.

It is an arithmetic number, because the mean of its divisors is an integer number (6257664).

Almost surely, 2^113817504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113817504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150183936).

113817504 is an abundant number, since it is smaller than the sum of its proper divisors (186550368).

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

113817504 is a wasteful number, since it uses less digits than its factorization.

113817504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6349 (or 6341 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 113817504 is about 10668.5286708149. The cubic root of 113817504 is about 484.6218812161.

The spelling of 113817504 in words is "one hundred thirteen million, eight hundred seventeen thousand, five hundred four".