115526016 has 144 divisors (see below), whose sum is σ = 354161340. Its totient is φ = 36139008.

The previous prime is 115526011. The next prime is 115526027. The reversal of 115526016 is 610625511.

It is a happy number.

115526016 is a `hidden beast` number, since 1 + 1 + 5 + 52 + 601 + 6 = 666.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115526011) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 332755 + ... + 333101.

Almost surely, 2^115526016 is an apocalyptic number.

115526016 is a gapful number since it is divisible by the number (16) 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 115526016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177080670).

115526016 is an abundant number, since it is smaller than the sum of its proper divisors (238635324).

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

115526016 is a wasteful number, since it uses less digits than its factorization.

115526016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 115526016 is about 10748.3029358127. The cubic root of 115526016 is about 487.0347308426.

The spelling of 115526016 in words is "one hundred fifteen million, five hundred twenty-six thousand, sixteen".