135258011385728 has 512 divisors, whose sum is σ = 363359781273600. Its totient is φ = 48552129699840.

The previous prime is 135258011385689. The next prime is 135258011385733. The reversal of 135258011385728 is 827583110852531.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22913432825 + ... + 22913438727.

It is an arithmetic number, because the mean of its divisors is an integer number (709687072800).

Almost surely, 2^{135258011385728} 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 135258011385728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181679890636800).

135258011385728 is an abundant number, since it is smaller than the sum of its proper divisors (228101769887872).

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

135258011385728 is a wasteful number, since it uses less digits than its factorization.

135258011385728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9298 (or 9286 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 59.

The spelling of 135258011385728 in words is "one hundred thirty-five trillion, two hundred fifty-eight billion, eleven million, three hundred eighty-five thousand, seven hundred twenty-eight".