115747200 has 144 divisors (see below), whose sum is σ = 413115300. Its totient is φ = 30858240.

The previous prime is 115747193. The next prime is 115747213. The reversal of 115747200 is 2747511.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 26791 + ... + 30809.

Almost surely, 2^115747200 is an apocalyptic number.

115747200 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 115747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206557650).

115747200 is an abundant number, since it is smaller than the sum of its proper divisors (297368100).

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

115747200 is a wasteful number, since it uses less digits than its factorization.

115747200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4049 (or 4029 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 115747200 is about 10758.5872678526. The cubic root of 115747200 is about 487.3453552881.

The spelling of 115747200 in words is "one hundred fifteen million, seven hundred forty-seven thousand, two hundred".