82518156 has 144 divisors (see below), whose sum is σ = 257402880. Its totient is φ = 22770720.

The previous prime is 82518151. The next prime is 82518169. The reversal of 82518156 is 65181528.

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 82518156.

It is not an unprimeable number, because it can be changed into a prime (82518151) 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 47 ways as a sum of consecutive naturals, for example, 163801 + ... + 164303.

It is an arithmetic number, because the mean of its divisors is an integer number (1787520).

Almost surely, 2^82518156 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 82518156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128701440).

82518156 is an abundant number, since it is smaller than the sum of its proper divisors (174884724).

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

82518156 is a wasteful number, since it uses less digits than its factorization.

82518156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 546 counting only the distinct ones).

The product of its digits is 19200, while the sum is 36.

The square root of 82518156 is about 9083.9504622163. The cubic root of 82518156 is about 435.3613169246.

It can be divided in two parts, 825 and 18156, that added together give a palindrome (18981).

The spelling of 82518156 in words is "eighty-two million, five hundred eighteen thousand, one hundred fifty-six".