82136124 has 72 divisors (see below), whose sum is σ = 238169568. Its totient is φ = 23379840.

The previous prime is 82136099. The next prime is 82136141. The reversal of 82136124 is 42163128.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99634 + ... + 100454.

Almost surely, 2^82136124 is an apocalyptic number.

82136124 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82136124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119084784).

82136124 is an abundant number, since it is smaller than the sum of its proper divisors (156033444).

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

82136124 is a wasteful number, since it uses less digits than its factorization.

82136124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1230 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 82136124 is about 9062.8982119408. The cubic root of 82136124 is about 434.6884173796.

The spelling of 82136124 in words is "eighty-two million, one hundred thirty-six thousand, one hundred twenty-four".