115538436 has 72 divisors (see below), whose sum is σ = 325405080. Its totient is φ = 34320384.

The previous prime is 115538417. The next prime is 115538441. The reversal of 115538436 is 634835511.

115538436 is a `hidden beast` number, since 115 + 538 + 4 + 3 + 6 = 666.

115538436 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 29160000 + 86378436 = 5400^2 + 9294^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

115538436 is strictly pandigital in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 115538436.

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 23 ways as a sum of consecutive naturals, for example, 9316 + ... + 17828.

It is an arithmetic number, because the mean of its divisors is an integer number (4519515).

Almost surely, 2^115538436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115538436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162702540).

115538436 is an abundant number, since it is smaller than the sum of its proper divisors (209866644).

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

115538436 is a wasteful number, since it uses less digits than its factorization.

115538436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8565 (or 8560 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 115538436 is about 10748.8806859133. The cubic root of 115538436 is about 487.0521836347.

The spelling of 115538436 in words is "one hundred fifteen million, five hundred thirty-eight thousand, four hundred thirty-six".