115506144 has 72 divisors (see below), whose sum is σ = 353749032. Its totient is φ = 35539200.

The previous prime is 115506121. The next prime is 115506151. The reversal of 115506144 is 441605511.

115506144 is a `hidden beast` number, since 1 + 15 + 506 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

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, 11682 + ... + 19169.

It is an arithmetic number, because the mean of its divisors is an integer number (4913181).

Almost surely, 2^115506144 is an apocalyptic number.

It is an amenable number.

115506144 is an abundant number, since it is smaller than the sum of its proper divisors (238242888).

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

115506144 is a wasteful number, since it uses less digits than its factorization.

115506144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30880 (or 30869 counting only the distinct ones).

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

The square root of 115506144 is about 10747.3784710505. The cubic root of 115506144 is about 487.0068037734.

The spelling of 115506144 in words is "one hundred fifteen million, five hundred six thousand, one hundred forty-four".