135921679728 has 80 divisors (see below), whose sum is σ = 359610066816. Its totient is φ = 44214992640.

The previous prime is 135921679709. The next prime is 135921679741. The reversal of 135921679728 is 827976129531.

It is a happy number.

It is a super-3 number, since 3×135921679728³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2388826 + ... + 2445062.

Almost surely, 2^135921679728 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 135921679728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179805033408).

135921679728 is an abundant number, since it is smaller than the sum of its proper divisors (223688387088).

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

135921679728 is a wasteful number, since it uses less digits than its factorization.

135921679728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57462 (or 57456 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 60.

The spelling of 135921679728 in words is "one hundred thirty-five billion, nine hundred twenty-one million, six hundred seventy-nine thousand, seven hundred twenty-eight".