115038144 has 168 divisors, whose sum is σ = 368899440. Its totient is φ = 35334144.

The previous prime is 115038101. The next prime is 115038149. The reversal of 115038144 is 441830511.

It is a happy number.

115038144 is a `hidden beast` number, since 11 + 503 + 8 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115038149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201892 + ... + 202460.

It is an arithmetic number, because the mean of its divisors is an integer number (2195830).

Almost surely, 2^115038144 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 115038144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184449720).

115038144 is an abundant number, since it is smaller than the sum of its proper divisors (253861296).

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

115038144 is an equidigital number, since it uses as much as digits as its factorization.

115038144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 115038144 is about 10725.5836204842. The cubic root of 115038144 is about 486.3481730040.

Adding to 115038144 its reverse (441830511), we get a palindrome (556868655).

The spelling of 115038144 in words is "one hundred fifteen million, thirty-eight thousand, one hundred forty-four".