115541888 has 128 divisors (see below), whose sum is σ = 302572800. Its totient is φ = 42577920.

The previous prime is 115541873. The next prime is 115541897. The reversal of 115541888 is 888145511.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186956 + ... + 187572.

It is an arithmetic number, because the mean of its divisors is an integer number (2363850).

Almost surely, 2^115541888 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 115541888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151286400).

115541888 is an abundant number, since it is smaller than the sum of its proper divisors (187030912).

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

115541888 is a wasteful number, since it uses less digits than its factorization.

115541888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 656 counting only the distinct ones).

The product of its digits is 51200, while the sum is 41.

The square root of 115541888 is about 10749.0412595729. The cubic root of 115541888 is about 487.0570342208.

The spelling of 115541888 in words is "one hundred fifteen million, five hundred forty-one thousand, eight hundred eighty-eight".