115314400 has 144 divisors (see below), whose sum is σ = 305136720. Its totient is φ = 42393600.

The previous prime is 115314391. The next prime is 115314467. The reversal of 115314400 is 4413511.

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, 829531 + ... + 829669.

It is an arithmetic number, because the mean of its divisors is an integer number (2119005).

Almost surely, 2^115314400 is an apocalyptic number.

115314400 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 115314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152568360).

115314400 is an abundant number, since it is smaller than the sum of its proper divisors (189822320).

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

115314400 is a wasteful number, since it uses less digits than its factorization.

115314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 115314400 is about 10738.4542649303. The cubic root of 115314400 is about 486.7371720790.

Adding to 115314400 its reverse (4413511), we get a palindrome (119727911).

It can be divided in two parts, 11531 and 4400, that added together give a triangular number (15931 = T₁₇₈).

The spelling of 115314400 in words is "one hundred fifteen million, three hundred fourteen thousand, four hundred".