115200520 has 32 divisors (see below), whose sum is σ = 259663320. Its totient is φ = 45998080.

The previous prime is 115200487. The next prime is 115200539. The reversal of 115200520 is 25002511.

It can be written as a sum of positive squares in 4 ways, for example, as 113167044 + 2033476 = 10638^2 + 1426^2 .

It is a junction number, because it is equal to n+sod(n) for n = 115200494 and 115200503.

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 7 ways as a sum of consecutive naturals, for example, 23394 + ... + 27886.

Almost surely, 2^115200520 is an apocalyptic number.

115200520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115200520 is an abundant number, since it is smaller than the sum of its proper divisors (144462800).

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

115200520 is a wasteful number, since it uses less digits than its factorization.

115200520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5145 (or 5141 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 115200520 is about 10733.1505160414. The cubic root of 115200520 is about 486.5768917617.

The spelling of 115200520 in words is "one hundred fifteen million, two hundred thousand, five hundred twenty".