113119200 has 144 divisors (see below), whose sum is σ = 409192560. Its totient is φ = 30159360.

The previous prime is 113119199. The next prime is 113119211. The reversal of 113119200 is 2911311.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18982 + ... + 24218.

It is an arithmetic number, because the mean of its divisors is an integer number (2841615).

Almost surely, 2^113119200 is an apocalyptic number.

113119200 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 113119200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204596280).

113119200 is an abundant number, since it is smaller than the sum of its proper divisors (296073360).

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

113119200 is a wasteful number, since it uses less digits than its factorization.

113119200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5266 (or 5247 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 113119200 is about 10635.7510313094. The cubic root of 113119200 is about 483.6287479293.

The spelling of 113119200 in words is "one hundred thirteen million, one hundred nineteen thousand, two hundred".