115185144 has 64 divisors (see below), whose sum is σ = 311356800. Its totient is φ = 35385984.

The previous prime is 115185143. The next prime is 115185151. The reversal of 115185144 is 441581511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115185143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13459 + ... + 20285.

It is an arithmetic number, because the mean of its divisors is an integer number (4864950).

Almost surely, 2^115185144 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 115185144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155678400).

115185144 is an abundant number, since it is smaller than the sum of its proper divisors (196171656).

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

115185144 is a wasteful number, since it uses less digits than its factorization.

115185144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6892 (or 6888 counting only the distinct ones).

The product of its digits is 3200, while the sum is 30.

The square root of 115185144 is about 10732.4342066467. The cubic root of 115185144 is about 486.5552427298. Note that the first 3 decimals are identical.

The spelling of 115185144 in words is "one hundred fifteen million, one hundred eighty-five thousand, one hundred forty-four".