115338240 has 132 divisors (see below), whose sum is σ = 399803664. Its totient is φ = 30744576.

The previous prime is 115338233. The next prime is 115338253. The reversal of 115338240 is 42833511.

It is a happy number.

115338240 is a `hidden beast` number, since 11 + 533 + 82 + 40 = 666.

It is a super-5 number, since 5×115338240⁵ (a number of 42 digits) contains 55555 as substring.

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44829 + ... + 47331.

Almost surely, 2^115338240 is an apocalyptic number.

115338240 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 115338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199901832).

115338240 is an abundant number, since it is smaller than the sum of its proper divisors (284465424).

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

115338240 is a wasteful number, since it uses less digits than its factorization.

115338240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2534 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 115338240 is about 10739.5642369698. The cubic root of 115338240 is about 486.7707123094.

It can be divided in two parts, 1153 and 38240, that added together give a palindrome (39393).

The spelling of 115338240 in words is "one hundred fifteen million, three hundred thirty-eight thousand, two hundred forty".