82389365136 has 200 divisors, whose sum is σ = 265087311104. Its totient is φ = 24532657920.

The previous prime is 82389365129. The next prime is 82389365171. The reversal of 82389365136 is 63156398328.

It is a happy number.

82389365136 is a `hidden beast` number, since 8 + 2 + 38 + 93 + 6 + 513 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 443415 + ... + 601161.

Almost surely, 2^82389365136 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 82389365136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132543655552).

82389365136 is an abundant number, since it is smaller than the sum of its proper divisors (182697945968).

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

82389365136 is a wasteful number, since it uses less digits than its factorization.

82389365136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157811 (or 157796 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 82389365136 in words is "eighty-two billion, three hundred eighty-nine million, three hundred sixty-five thousand, one hundred thirty-six".