8182673136 has 240 divisors, whose sum is σ = 26612546688. Its totient is φ = 2412115200.

The previous prime is 8182673111. The next prime is 8182673153. The reversal of 8182673136 is 6313762818.

It is a super-2 number, since 2×8182673136² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8182673091 and 8182673100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1579831 + ... + 1585001.

Almost surely, 2^8182673136 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 8182673136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13306273344).

8182673136 is an abundant number, since it is smaller than the sum of its proper divisors (18429873552).

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

8182673136 is a wasteful number, since it uses less digits than its factorization.

8182673136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5242 (or 5224 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 8182673136 is about 90458.1291869338. The cubic root of 8182673136 is about 2015.1083429318.

The spelling of 8182673136 in words is "eight billion, one hundred eighty-two million, six hundred seventy-three thousand, one hundred thirty-six".