82139800 has 48 divisors (see below), whose sum is σ = 194239800. Its totient is φ = 32294400.

The previous prime is 82139747. The next prime is 82139821. The reversal of 82139800 is 893128.

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 11 ways as a sum of consecutive naturals, for example, 8320 + ... + 15280.

Almost surely, 2^82139800 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 82139800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97119900).

82139800 is an abundant number, since it is smaller than the sum of its proper divisors (112100000).

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

82139800 is a wasteful number, since it uses less digits than its factorization.

82139800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7036 (or 7027 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 82139800 is about 9063.1010145535. The cubic root of 82139800 is about 434.6949021057.

The spelling of 82139800 in words is "eighty-two million, one hundred thirty-nine thousand, eight hundred".