113485120 has 112 divisors (see below), whose sum is σ = 319674240. Its totient is φ = 37545984.

The previous prime is 113485117. The next prime is 113485129. The reversal of 113485120 is 21584311.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×113485120² = 25757744922828800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113485129) 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, 64087 + ... + 65833.

Almost surely, 2^113485120 is an apocalyptic number.

113485120 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 113485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159837120).

113485120 is an abundant number, since it is smaller than the sum of its proper divisors (206189120).

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

113485120 is a wasteful number, since it uses less digits than its factorization.

113485120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 113485120 is about 10652.9395004384. The cubic root of 113485120 is about 484.1496702612.

The spelling of 113485120 in words is "one hundred thirteen million, four hundred eighty-five thousand, one hundred twenty".