82139280 has 80 divisors (see below), whose sum is σ = 268048320. Its totient is φ = 20749824.

The previous prime is 82139273. The next prime is 82139303. The reversal of 82139280 is 8293128.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×82139280² = 13493722637836800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 4447 + ... + 13566.

It is an arithmetic number, because the mean of its divisors is an integer number (3350604).

Almost surely, 2^82139280 is an apocalyptic number.

82139280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82139280 is an abundant number, since it is smaller than the sum of its proper divisors (185909040).

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

82139280 is a wasteful number, since it uses less digits than its factorization.

82139280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18048 (or 18042 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 82139280 is about 9063.0723267554. The cubic root of 82139280 is about 434.6939848003.

The spelling of 82139280 in words is "eighty-two million, one hundred thirty-nine thousand, two hundred eighty".