135677824 has 48 divisors (see below), whose sum is σ = 279549360. Its totient is φ = 65591040.

The previous prime is 135677821. The next prime is 135677837. The reversal of 135677824 is 428776531.

135677824 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135677821) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 122457 + ... + 123559.

It is an arithmetic number, because the mean of its divisors is an integer number (5823945).

Almost surely, 2^135677824 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 135677824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139774680).

135677824 is an abundant number, since it is smaller than the sum of its proper divisors (143871536).

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

135677824 is an equidigital number, since it uses as much as digits as its factorization.

135677824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1136 counting only the distinct ones).

The product of its digits is 282240, while the sum is 43.

The square root of 135677824 is about 11648.0824172908. The cubic root of 135677824 is about 513.8499160592.

The spelling of 135677824 in words is "one hundred thirty-five million, six hundred seventy-seven thousand, eight hundred twenty-four".