82134720 has 252 divisors, whose sum is σ = 301934880. Its totient is φ = 20487168.

The previous prime is 82134673. The next prime is 82134721. The reversal of 82134720 is 2743128.

It is a super-2 number, since 2×82134720² = 13492224458956800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82134721) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1039641 + ... + 1039719.

Almost surely, 2^82134720 is an apocalyptic number.

82134720 is a gapful number since it is divisible by the number (80) 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 82134720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150967440).

82134720 is an abundant number, since it is smaller than the sum of its proper divisors (219800160).

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

82134720 is a wasteful number, since it uses less digits than its factorization.

82134720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 82134720 is about 9062.8207529444. The cubic root of 82134720 is about 434.6859405725.

Adding to 82134720 its reverse (2743128), we get a palindrome (84877848).

The spelling of 82134720 in words is "eighty-two million, one hundred thirty-four thousand, seven hundred twenty".