135104620728 has 256 divisors, whose sum is σ = 450542592000. Its totient is φ = 32699635200.

The previous prime is 135104620723. The next prime is 135104620733. The reversal of 135104620728 is 827026401531.

It is an interprime number because it is at equal distance from previous prime (135104620723) and next prime (135104620733).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135104620723) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2110293 + ... + 2173371.

It is an arithmetic number, because the mean of its divisors is an integer number (1759932000).

Almost surely, 2^135104620728 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 135104620728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225271296000).

135104620728 is an abundant number, since it is smaller than the sum of its proper divisors (315437971272).

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

135104620728 is a wasteful number, since it uses less digits than its factorization.

135104620728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63186 (or 63182 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 135104620728 in words is "one hundred thirty-five billion, one hundred four million, six hundred twenty thousand, seven hundred twenty-eight".