115153200 has 180 divisors, whose sum is σ = 413768160. Its totient is φ = 29621760.

The previous prime is 115153169. The next prime is 115153201. The reversal of 115153200 is 2351511.

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

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 (115153201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 103849 + ... + 104951.

It is an arithmetic number, because the mean of its divisors is an integer number (2298712).

Almost surely, 2^115153200 is an apocalyptic number.

115153200 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 115153200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206884080).

115153200 is an abundant number, since it is smaller than the sum of its proper divisors (298614960).

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

115153200 is a wasteful number, since it uses less digits than its factorization.

115153200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 115153200 is about 10730.9459042528. The cubic root of 115153200 is about 486.5102601996.

The spelling of 115153200 in words is "one hundred fifteen million, one hundred fifty-three thousand, two hundred".