113731200 has 288 divisors, whose sum is σ = 443944800. Its totient is φ = 27494400.

The previous prime is 113731199. The next prime is 113731201. The reversal of 113731200 is 2137311.

It is an interprime number because it is at equal distance from previous prime (113731199) and next prime (113731201).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (113731201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 316621 + ... + 316979.

It is an arithmetic number, because the mean of its divisors is an integer number (1541475).

Almost surely, 2^113731200 is an apocalyptic number.

113731200 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 113731200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221972400).

113731200 is an abundant number, since it is smaller than the sum of its proper divisors (330213600).

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

113731200 is a wasteful number, since it uses less digits than its factorization.

113731200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 113731200 is about 10664.4831098371. The cubic root of 113731200 is about 484.4993593975.

Adding to 113731200 its reverse (2137311), we get a palindrome (115868511).

The spelling of 113731200 in words is "one hundred thirteen million, seven hundred thirty-one thousand, two hundred".