115380540 has 144 divisors (see below), whose sum is σ = 402030720. Its totient is φ = 26490240.

The previous prime is 115380491. The next prime is 115380553. The reversal of 115380540 is 45083511.

115380540 is a `hidden beast` number, since 115 + 3 + 8 + 0 + 540 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36087 + ... + 39153.

It is an arithmetic number, because the mean of its divisors is an integer number (2791880).

Almost surely, 2^115380540 is an apocalyptic number.

115380540 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 115380540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201015360).

115380540 is an abundant number, since it is smaller than the sum of its proper divisors (286650180).

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

115380540 is a wasteful number, since it uses less digits than its factorization.

115380540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3112 (or 3107 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 115380540 is about 10741.5334100863. The cubic root of 115380540 is about 486.8302123344.

The spelling of 115380540 in words is "one hundred fifteen million, three hundred eighty thousand, five hundred forty".