113388000 has 192 divisors, whose sum is σ = 405699840. Its totient is φ = 27456000.

The previous prime is 113387983. The next prime is 113388019. The reversal of 113388000 is 883311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 10.

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 31 ways as a sum of consecutive naturals, for example, 131571 + ... + 132429.

It is an arithmetic number, because the mean of its divisors is an integer number (2113020).

Almost surely, 2^113388000 is an apocalyptic number.

113388000 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 113388000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202849920).

113388000 is an abundant number, since it is smaller than the sum of its proper divisors (292311840).

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

113388000 is a wasteful number, since it uses less digits than its factorization.

113388000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 113388000 is about 10648.3801585030. The cubic root of 113388000 is about 484.0115198861.

The spelling of 113388000 in words is "one hundred thirteen million, three hundred eighty-eight thousand".