115399200 has 144 divisors (see below), whose sum is σ = 429347520. Its totient is φ = 26373120.

The previous prime is 115399199. The next prime is 115399201. The reversal of 115399200 is 2993511.

It is an interprime number because it is at equal distance from previous prime (115399199) and next prime (115399201).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (115399201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13366 + ... + 20234.

It is an arithmetic number, because the mean of its divisors is an integer number (2981580).

Almost surely, 2^115399200 is an apocalyptic number.

115399200 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 115399200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214673760).

115399200 is an abundant number, since it is smaller than the sum of its proper divisors (313948320).

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

115399200 is a wasteful number, since it uses less digits than its factorization.

115399200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6899 (or 6886 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 115399200 is about 10742.4019660409. The cubic root of 115399200 is about 486.8564552407.

The spelling of 115399200 in words is "one hundred fifteen million, three hundred ninety-nine thousand, two hundred".