135585877547649 has 8 divisors (see below), whose sum is σ = 180859464213120. Its totient is φ = 90351437956976.

The previous prime is 135585877547639. The next prime is 135585877547651. The reversal of 135585877547649 is 946745778585531.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 135585877547649 - 2¹⁹ = 135585877023361 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135585877547639) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 9786760617 + ... + 9786774470.

It is an arithmetic number, because the mean of its divisors is an integer number (22607433026640).

Almost surely, 2^{135585877547649} is an apocalyptic number.

It is an amenable number.

135585877547649 is a deficient number, since it is larger than the sum of its proper divisors (45273586665471).

135585877547649 is a wasteful number, since it uses less digits than its factorization.

135585877547649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19573537399.

The product of its digits is 35562240000, while the sum is 84.

The spelling of 135585877547649 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-nine".