82037136 has 80 divisors (see below), whose sum is σ = 232842240. Its totient is φ = 24773760.

The previous prime is 82037093. The next prime is 82037141. The reversal of 82037136 is 63173028.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19021 + ... + 22931.

It is an arithmetic number, because the mean of its divisors is an integer number (2910528).

Almost surely, 2^82037136 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 82037136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116421120).

82037136 is an abundant number, since it is smaller than the sum of its proper divisors (150805104).

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

82037136 is a wasteful number, since it uses less digits than its factorization.

82037136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3964 (or 3958 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 82037136 is about 9057.4353986104. The cubic root of 82037136 is about 434.5137226888.

The spelling of 82037136 in words is "eighty-two million, thirty-seven thousand, one hundred thirty-six".