135379129728 has 64 divisors (see below), whose sum is σ = 361982430720. Its totient is φ = 44827507200.

The previous prime is 135379129727. The next prime is 135379129729. The reversal of 135379129728 is 827921973531.

It is an interprime number because it is at equal distance from previous prime (135379129727) and next prime (135379129729).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135379129727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1109400 + ... + 1225367.

It is an arithmetic number, because the mean of its divisors is an integer number (5655975480).

Almost surely, 2^135379129728 is an apocalyptic number.

It is an amenable number.

135379129728 is an abundant number, since it is smaller than the sum of its proper divisors (226603300992).

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

135379129728 is a wasteful number, since it uses less digits than its factorization.

135379129728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334935 (or 2334923 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 57.

The spelling of 135379129728 in words is "one hundred thirty-five billion, three hundred seventy-nine million, one hundred twenty-nine thousand, seven hundred twenty-eight".