135582082856 has 128 divisors (see below), whose sum is σ = 292095590400. Its totient is φ = 58434912000.

The previous prime is 135582082837. The next prime is 135582082877. The reversal of 135582082856 is 658280285531.

It is a junction number, because it is equal to n+sod(n) for n = 135582082798 and 135582082807.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47092025 + ... + 47094903.

It is an arithmetic number, because the mean of its divisors is an integer number (2281996800).

Almost surely, 2^135582082856 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 135582082856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146047795200).

135582082856 is an abundant number, since it is smaller than the sum of its proper divisors (156513507544).

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

135582082856 is a wasteful number, since it uses less digits than its factorization.

135582082856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3271 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 53.

The spelling of 135582082856 in words is "one hundred thirty-five billion, five hundred eighty-two million, eighty-two thousand, eight hundred fifty-six".