135585877547648 has 768 divisors, whose sum is σ = 330617160069120. Its totient is φ = 54845227008000.

The previous prime is 135585877547639. The next prime is 135585877547651. The reversal of 135585877547648 is 846745778585531.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115786402103 + ... + 115786403273.

It is an arithmetic number, because the mean of its divisors is an integer number (430491093840).

Almost surely, 2^{135585877547648} 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 135585877547648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165308580034560).

135585877547648 is an abundant number, since it is smaller than the sum of its proper divisors (195031282521472).

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

135585877547648 is a wasteful number, since it uses less digits than its factorization.

135585877547648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465 (or 1436 counting only the distinct ones).

The product of its digits is 31610880000, while the sum is 83.

The spelling of 135585877547648 in words is "one hundred thirty-five trillion, five hundred eighty-five billion, eight hundred seventy-seven million, five hundred forty-seven thousand, six hundred forty-eight".