115200045 has 24 divisors (see below), whose sum is σ = 199999800. Its totient is φ = 61341696.

The previous prime is 115200023. The next prime is 115200047. The reversal of 115200045 is 540002511.

It can be written as a sum of positive squares in 4 ways, for example, as 5076009 + 110124036 = 2253^2 + 10494^2 .

It is not a de Polignac number, because 115200045 - 2⁸ = 115199789 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115200047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32941 + ... + 36269.

It is an arithmetic number, because the mean of its divisors is an integer number (8333325).

Almost surely, 2^115200045 is an apocalyptic number.

115200045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

115200045 is a deficient number, since it is larger than the sum of its proper divisors (84799755).

115200045 is a wasteful number, since it uses less digits than its factorization.

115200045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4109 (or 4106 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 115200045 is about 10733.1283883125. The cubic root of 115200045 is about 486.5762230021.

Adding to 115200045 its reverse (540002511), we get a palindrome (655202556).

It can be divided in two parts, 1152000 and 45, that multiplied together give a square (51840000 = 7200²).

The spelling of 115200045 in words is "one hundred fifteen million, two hundred thousand, forty-five".