113825088 has 168 divisors, whose sum is σ = 365016288. Its totient is φ = 34960896.

The previous prime is 113825071. The next prime is 113825099. The reversal of 113825088 is 880528311.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 201895 + ... + 202457.

It is an arithmetic number, because the mean of its divisors is an integer number (2172716).

Almost surely, 2^113825088 is an apocalyptic number.

113825088 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 113825088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182508144).

113825088 is an abundant number, since it is smaller than the sum of its proper divisors (251191200).

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

113825088 is an equidigital number, since it uses as much as digits as its factorization.

113825088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 113825088 is about 10668.8841028479. The cubic root of 113825088 is about 484.6326449111.

The spelling of 113825088 in words is "one hundred thirteen million, eight hundred twenty-five thousand, eighty-eight".