82139136 has 96 divisors (see below), whose sum is σ = 227026800. Its totient is φ = 26378240.

The previous prime is 82139077. The next prime is 82139137. The reversal of 82139136 is 63193128.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 82139097 and 82139106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82139137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177946 + ... + 178406.

Almost surely, 2^82139136 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 82139136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113513400).

82139136 is an abundant number, since it is smaller than the sum of its proper divisors (144887664).

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

82139136 is a wasteful number, since it uses less digits than its factorization.

82139136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 495 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 82139136 is about 9063.0643824261. The cubic root of 82139136 is about 434.6937307767.

The spelling of 82139136 in words is "eighty-two million, one hundred thirty-nine thousand, one hundred thirty-six".