115831200 has 216 divisors, whose sum is σ = 402911712. Its totient is φ = 28897280.

The previous prime is 115831181. The next prime is 115831211. The reversal of 115831200 is 2138511.

115831200 = T₃₂₄ + T₃₂₅ + ... + T₈₉₉.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 693517 + ... + 693683.

It is an arithmetic number, because the mean of its divisors is an integer number (1865332).

Almost surely, 2^115831200 is an apocalyptic number.

115831200 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 115831200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201455856).

115831200 is an abundant number, since it is smaller than the sum of its proper divisors (287080512).

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

115831200 is a wasteful number, since it uses less digits than its factorization.

115831200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 115831200 is about 10762.4904181142. The cubic root of 115831200 is about 487.4632187897.

Adding to 115831200 its reverse (2138511), we get a palindrome (117969711).

The spelling of 115831200 in words is "one hundred fifteen million, eight hundred thirty-one thousand, two hundred".