115533756 has 192 divisors, whose sum is σ = 349977600. Its totient is φ = 32659200.

The previous prime is 115533731. The next prime is 115533763. The reversal of 115533756 is 657335511.

115533756 is a `hidden beast` number, since 115 + 533 + 7 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 115533756.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1627201 + ... + 1627271.

It is an arithmetic number, because the mean of its divisors is an integer number (1822800).

Almost surely, 2^115533756 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 115533756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174988800).

115533756 is an abundant number, since it is smaller than the sum of its proper divisors (234443844).

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

115533756 is a wasteful number, since it uses less digits than its factorization.

115533756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 169 counting only the distinct ones).

The product of its digits is 47250, while the sum is 36.

The square root of 115533756 is about 10748.6629866230. The cubic root of 115533756 is about 487.0456073671.

The spelling of 115533756 in words is "one hundred fifteen million, five hundred thirty-three thousand, seven hundred fifty-six".