113519088 has 60 divisors (see below), whose sum is σ = 322077600. Its totient is φ = 37317888.

The previous prime is 113519059. The next prime is 113519089. The reversal of 113519088 is 880915311.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113519089) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5113 + ... + 15911.

It is an arithmetic number, because the mean of its divisors is an integer number (5367960).

Almost surely, 2^113519088 is an apocalyptic number.

113519088 is a gapful number since it is divisible by the number (18) 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 113519088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161038800).

113519088 is an abundant number, since it is smaller than the sum of its proper divisors (208558512).

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

113519088 is a wasteful number, since it uses less digits than its factorization.

113519088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10886 (or 10877 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The square root of 113519088 is about 10654.5336828976. The cubic root of 113519088 is about 484.1979701483.

The spelling of 113519088 in words is "one hundred thirteen million, five hundred nineteen thousand, eighty-eight".