113152200 has 192 divisors, whose sum is σ = 415152000. Its totient is φ = 24944640.

The previous prime is 113152181. The next prime is 113152223. The reversal of 113152200 is 2251311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 113152200.

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 47 ways as a sum of consecutive naturals, for example, 121336 + ... + 122264.

It is an arithmetic number, because the mean of its divisors is an integer number (2162250).

Almost surely, 2^113152200 is an apocalyptic number.

113152200 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 113152200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207576000).

113152200 is an abundant number, since it is smaller than the sum of its proper divisors (301999800).

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

113152200 is a wasteful number, since it uses less digits than its factorization.

113152200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 113152200 is about 10637.3022895845. The cubic root of 113152200 is about 483.6757726518.

The spelling of 113152200 in words is "one hundred thirteen million, one hundred fifty-two thousand, two hundred".