115205040 has 120 divisors (see below), whose sum is σ = 394327440. Its totient is φ = 30131712.

The previous prime is 115205011. The next prime is 115205059. The reversal of 115205040 is 40502511.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36651 + ... + 39669.

It is an arithmetic number, because the mean of its divisors is an integer number (3286062).

Almost surely, 2^115205040 is an apocalyptic number.

115205040 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 115205040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197163720).

115205040 is an abundant number, since it is smaller than the sum of its proper divisors (279122400).

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

115205040 is a wasteful number, since it uses less digits than its factorization.

115205040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3091 (or 3082 counting only the distinct ones).

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

The square root of 115205040 is about 10733.3610765687. The cubic root of 115205040 is about 486.5832554447.

Adding to 115205040 its reverse (40502511), we get a palindrome (155707551).

The spelling of 115205040 in words is "one hundred fifteen million, two hundred five thousand, forty".