135676584 has 96 divisors (see below), whose sum is σ = 384134400. Its totient is φ = 43211520.

The previous prime is 135676579. The next prime is 135676613. The reversal of 135676584 is 485676531.

135676584 is a `hidden beast` number, since 1 + 3 + 5 + 67 + 6 + 584 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198307 + ... + 198989.

It is an arithmetic number, because the mean of its divisors is an integer number (4001400).

Almost surely, 2^135676584 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 135676584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192067200).

135676584 is an abundant number, since it is smaller than the sum of its proper divisors (248457816).

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

135676584 is a wasteful number, since it uses less digits than its factorization.

135676584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 808 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 135676584 is about 11648.0291895239. The cubic root of 135676584 is about 513.8483506454.

The spelling of 135676584 in words is "one hundred thirty-five million, six hundred seventy-six thousand, five hundred eighty-four".