113458080 has 192 divisors, whose sum is σ = 383201280. Its totient is φ = 28148736.

The previous prime is 113458073. The next prime is 113458099. The reversal of 113458080 is 80854311.

113458080 = T₁₄₅ + T₁₄₆ + ... + T₈₈₀.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 474601 + ... + 474839.

It is an arithmetic number, because the mean of its divisors is an integer number (1995840).

Almost surely, 2^113458080 is an apocalyptic number.

113458080 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 113458080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191600640).

113458080 is an abundant number, since it is smaller than the sum of its proper divisors (269743200).

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

113458080 is a wasteful number, since it uses less digits than its factorization.

113458080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 113458080 is about 10651.6702915552. The cubic root of 113458080 is about 484.1112145677. Note that the first 3 decimals are identical.

The spelling of 113458080 in words is "one hundred thirteen million, four hundred fifty-eight thousand, eighty".