115200240 has 80 divisors (see below), whose sum is σ = 366800928. Its totient is φ = 29887488.

The previous prime is 115200227. The next prime is 115200251. The reversal of 115200240 is 42002511.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2394 + ... + 15366.

Almost surely, 2^115200240 is an apocalyptic number.

115200240 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 115200240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183400464).

115200240 is an abundant number, since it is smaller than the sum of its proper divisors (251600688).

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

115200240 is a wasteful number, since it uses less digits than its factorization.

115200240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13026 (or 13020 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 115200240 is about 10733.1374723331. The cubic root of 115200240 is about 486.5764975457.

Adding to 115200240 its reverse (42002511), we get a palindrome (157202751).

It can be divided in two parts, 115200 and 240, that added together give a triangular number (115440 = T₄₈₀).

The spelling of 115200240 in words is "one hundred fifteen million, two hundred thousand, two hundred forty".