82135800 has 72 divisors (see below), whose sum is σ = 275845440. Its totient is φ = 21902400.

The previous prime is 82135799. The next prime is 82135831. The reversal of 82135800 is 853128.

It is a happy number.

82135800 is a `hidden beast` number, since 82 + 1 + 3 + 580 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21016 + ... + 24615.

Almost surely, 2^82135800 is an apocalyptic number.

It is an amenable number.

82135800 is an abundant number, since it is smaller than the sum of its proper divisors (193709640).

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

82135800 is a wasteful number, since it uses less digits than its factorization.

82135800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45653 (or 45641 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 82135800 is about 9062.8803368466. The cubic root of 82135800 is about 434.6878458113.

Adding to 82135800 its reverse (853128), we get a palindrome (82988928).

The spelling of 82135800 in words is "eighty-two million, one hundred thirty-five thousand, eight hundred".