113359120 has 80 divisors (see below), whose sum is σ = 309408768. Its totient is φ = 37808640.

The previous prime is 113359079. The next prime is 113359121. The reversal of 113359120 is 21953311.

113359120 = 25⁴ + 26⁴ + ... + 56⁴.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (113359121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 17985 + ... + 23455.

Almost surely, 2^113359120 is an apocalyptic number.

113359120 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 113359120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154704384).

113359120 is an abundant number, since it is smaller than the sum of its proper divisors (196049648).

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

113359120 is a wasteful number, since it uses less digits than its factorization.

113359120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5528 (or 5522 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 25.

The square root of 113359120 is about 10647.0239973431. The cubic root of 113359120 is about 483.9704237101.

The spelling of 113359120 in words is "one hundred thirteen million, three hundred fifty-nine thousand, one hundred twenty".