135585824 has 108 divisors (see below), whose sum is σ = 312855102. Its totient is φ = 57784320.

The previous prime is 135585803. The next prime is 135585869. The reversal of 135585824 is 428585531.

It can be written as a sum of positive squares in only one way, i.e., 118113424 + 17472400 = 10868^2 + 4180^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1397744 + ... + 1397840.

Almost surely, 2^135585824 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 135585824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156427551).

135585824 is an abundant number, since it is smaller than the sum of its proper divisors (177269278).

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

135585824 is a wasteful number, since it uses less digits than its factorization.

135585824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 129 counting only the distinct ones).

The product of its digits is 192000, while the sum is 41.

The square root of 135585824 is about 11644.1325997259. The cubic root of 135585824 is about 513.7337465431.

The spelling of 135585824 in words is "one hundred thirty-five million, five hundred eighty-five thousand, eight hundred twenty-four".