115445200 has 90 divisors (see below), whose sum is σ = 300710354. Its totient is φ = 42339840.

The previous prime is 115445179. The next prime is 115445203. The reversal of 115445200 is 2544511.

It can be written as a sum of positive squares in 9 ways, for example, as 97535376 + 17909824 = 9876^2 + 4232^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115445203) 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 17 ways as a sum of consecutive naturals, for example, 774726 + ... + 774874.

Almost surely, 2^115445200 is an apocalyptic number.

115445200 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 115445200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150355177).

115445200 is an abundant number, since it is smaller than the sum of its proper divisors (185265154).

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

115445200 is a wasteful number, since it uses less digits than its factorization.

115445200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 115445200 is about 10744.5428008827. The cubic root of 115445200 is about 486.9211362837.

Adding to 115445200 its reverse (2544511), we get a palindrome (117989711).

The spelling of 115445200 in words is "one hundred fifteen million, four hundred forty-five thousand, two hundred".