82682603136 has 480 divisors, whose sum is σ = 280787925600. Its totient is φ = 23350957056.

The previous prime is 82682603123. The next prime is 82682603141. The reversal of 82682603136 is 63130628628.

It is a happy number.

82682603136 is a `hidden beast` number, since 8 + 2 + 6 + 8 + 2 + 603 + 1 + 36 = 666.

It is a super-3 number, since 3×82682603136³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 82682603091 and 82682603100.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 461913895 + ... + 461914073.

It is an arithmetic number, because the mean of its divisors is an integer number (584974845).

Almost surely, 2^82682603136 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 82682603136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140393962800).

82682603136 is an abundant number, since it is smaller than the sum of its proper divisors (198105322464).

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

82682603136 is a wasteful number, since it uses less digits than its factorization.

82682603136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 82682603136 in words is "eighty-two billion, six hundred eighty-two million, six hundred three thousand, one hundred thirty-six".