135802728 has 96 divisors (see below), whose sum is σ = 397768800. Its totient is φ = 41710464.

The previous prime is 135802721. The next prime is 135802739. The reversal of 135802728 is 827208531.

135802728 is a `hidden beast` number, since 1 + 3 + 580 + 2 + 72 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 135802692 and 135802701.

It is not an unprimeable number, because it can be changed into a prime (135802721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49275 + ... + 51957.

It is an arithmetic number, because the mean of its divisors is an integer number (4143425).

Almost surely, 2^135802728 is an apocalyptic number.

135802728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135802728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198884400).

135802728 is an abundant number, since it is smaller than the sum of its proper divisors (261966072).

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

135802728 is a wasteful number, since it uses less digits than its factorization.

135802728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2751 (or 2744 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 135802728 is about 11653.4427531095. The cubic root of 135802728 is about 514.0075498394.

The spelling of 135802728 in words is "one hundred thirty-five million, eight hundred two thousand, seven hundred twenty-eight".