115442208 has 144 divisors (see below), whose sum is σ = 378495936. Its totient is φ = 32693760.

The previous prime is 115442191. The next prime is 115442219. The reversal of 115442208 is 802244511.

115442208 is a `hidden beast` number, since 1 + 15 + 442 + 208 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 348603 + ... + 348933.

It is an arithmetic number, because the mean of its divisors is an integer number (2628444).

Almost surely, 2^115442208 is an apocalyptic number.

115442208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115442208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189247968).

115442208 is an abundant number, since it is smaller than the sum of its proper divisors (263053728).

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

115442208 is a wasteful number, since it uses less digits than its factorization.

115442208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 115442208 is about 10744.4035665085. The cubic root of 115442208 is about 486.9169297262.

Adding to 115442208 its reverse (802244511), we get a palindrome (917686719).

The spelling of 115442208 in words is "one hundred fifteen million, four hundred forty-two thousand, two hundred eight".