135756548074128 has 40 divisors (see below), whose sum is σ = 350709927681600. Its totient is φ = 45251471488384.

The previous prime is 135756548074117. The next prime is 135756548074139. The reversal of 135756548074128 is 821470845657531.

135756548074128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (135756548074117) and next prime (135756548074139).

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 7 ways as a sum of consecutive naturals, for example, 19134723 + ... + 25251746.

It is an arithmetic number, because the mean of its divisors is an integer number (8767748192040).

Almost surely, 2^{135756548074128} is an apocalyptic number.

It is an amenable number.

135756548074128 is an abundant number, since it is smaller than the sum of its proper divisors (214953379607472).

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

135756548074128 is a wasteful number, since it uses less digits than its factorization.

135756548074128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44450199 (or 44450193 counting only the distinct ones).

The product of its (nonzero) digits is 225792000, while the sum is 66.

The spelling of 135756548074128 in words is "one hundred thirty-five trillion, seven hundred fifty-six billion, five hundred forty-eight million, seventy-four thousand, one hundred twenty-eight".