135408728 has 64 divisors (see below), whose sum is σ = 326108160. Its totient is φ = 51232896.

The previous prime is 135408703. The next prime is 135408731. The reversal of 135408728 is 827804531.

It is a junction number, because it is equal to n+sod(n) for n = 135408691 and 135408700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12701 + ... + 20787.

It is an arithmetic number, because the mean of its divisors is an integer number (5095440).

Almost surely, 2^135408728 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 135408728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163054080).

135408728 is an abundant number, since it is smaller than the sum of its proper divisors (190699432).

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

135408728 is a wasteful number, since it uses less digits than its factorization.

135408728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8136 (or 8132 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 135408728 is about 11636.5255983047. The cubic root of 135408728 is about 513.5099772506.

The spelling of 135408728 in words is "one hundred thirty-five million, four hundred eight thousand, seven hundred twenty-eight".