115534800 has 180 divisors, whose sum is σ = 407771520. Its totient is φ = 30286080.

The previous prime is 115534759. The next prime is 115534807. The reversal of 115534800 is 8435511.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×115534800² = 26696580022080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115534807) 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, 240961 + ... + 241439.

Almost surely, 2^115534800 is an apocalyptic number.

115534800 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 115534800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203885760).

115534800 is an abundant number, since it is smaller than the sum of its proper divisors (292236720).

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

115534800 is a wasteful number, since it uses less digits than its factorization.

115534800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 115534800 is about 10748.7115506929. The cubic root of 115534800 is about 487.0470743961.

The spelling of 115534800 in words is "one hundred fifteen million, five hundred thirty-four thousand, eight hundred".