115033200 has 120 divisors (see below), whose sum is σ = 370915248. Its totient is φ = 30474240.

The previous prime is 115033187. The next prime is 115033223. The reversal of 115033200 is 2330511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 115033200.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 308214 + ... + 308586.

Almost surely, 2^115033200 is an apocalyptic number.

115033200 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 115033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185457624).

115033200 is an abundant number, since it is smaller than the sum of its proper divisors (255882048).

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

115033200 is a wasteful number, since it uses less digits than its factorization.

115033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 115033200 is about 10725.3531410392. The cubic root of 115033200 is about 486.3412056344.

Adding to 115033200 its reverse (2330511), we get a palindrome (117363711).

The spelling of 115033200 in words is "one hundred fifteen million, thirty-three thousand, two hundred".