135346728 has 128 divisors (see below), whose sum is σ = 393523200. Its totient is φ = 38681280.

The previous prime is 135346691. The next prime is 135346769. The reversal of 135346728 is 827643531.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 606825 + ... + 607047.

It is an arithmetic number, because the mean of its divisors is an integer number (3074400).

Almost surely, 2^135346728 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 135346728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196761600).

135346728 is an abundant number, since it is smaller than the sum of its proper divisors (258176472).

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

135346728 is a wasteful number, since it uses less digits than its factorization.

135346728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 258 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 135346728 is about 11633.8612678680. The cubic root of 135346728 is about 513.4315911685.

The spelling of 135346728 in words is "one hundred thirty-five million, three hundred forty-six thousand, seven hundred twenty-eight".