135824384 has 88 divisors (see below), whose sum is σ = 290837760. Its totient is φ = 63258624.

The previous prime is 135824357. The next prime is 135824389. The reversal of 135824384 is 483428531.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135824389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1719257 + ... + 1719335.

Almost surely, 2^135824384 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 135824384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145418880).

135824384 is an abundant number, since it is smaller than the sum of its proper divisors (155013376).

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

135824384 is an equidigital number, since it uses as much as digits as its factorization.

135824384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 177 counting only the distinct ones).

The product of its digits is 92160, while the sum is 38.

The square root of 135824384 is about 11654.3718835465. The cubic root of 135824384 is about 514.0348707335.

The spelling of 135824384 in words is "one hundred thirty-five million, eight hundred twenty-four thousand, three hundred eighty-four".