135472728 has 64 divisors (see below), whose sum is σ = 370206720. Its totient is φ = 41126400.

The previous prime is 135472709. The next prime is 135472739. The reversal of 135472728 is 827274531.

135472728 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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7293 + ... + 18003.

It is an arithmetic number, because the mean of its divisors is an integer number (5784480).

Almost surely, 2^135472728 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 135472728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185103360).

135472728 is an abundant number, since it is smaller than the sum of its proper divisors (234733992).

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

135472728 is a wasteful number, since it uses less digits than its factorization.

135472728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10768 (or 10764 counting only the distinct ones).

The product of its digits is 94080, while the sum is 39.

The square root of 135472728 is about 11639.2752351682. The cubic root of 135472728 is about 513.5908668226.

The spelling of 135472728 in words is "one hundred thirty-five million, four hundred seventy-two thousand, seven hundred twenty-eight".