115200000 has 234 divisors, whose sum is σ = 415922598. Its totient is φ = 30720000.

The previous prime is 115199957. The next prime is 115200017. The reversal of 115200000 is 2511.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 53231616 + 61968384 = 7296^2 + 7872^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 23039998 + ... + 23040002.

It is an arithmetic number, because the mean of its divisors is an integer number (1777447).

Almost surely, 2^115200000 is an apocalyptic number.

115200000 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 115200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207961299).

115200000 is an abundant number, since it is smaller than the sum of its proper divisors (300722598).

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

115200000 is an frugal number, since it uses more digits than its factorization.

115200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 115200000 is about 10733.1262919990. The cubic root of 115200000 is about 486.5761596459.

Adding to 115200000 its reverse (2511), we get a palindrome (115202511).

The spelling of 115200000 in words is "one hundred fifteen million, two hundred thousand".