135587578516117 has 16 divisors (see below), whose sum is σ = 166877343424512. Its totient is φ = 107277876000000.

The previous prime is 135587578516081. The next prime is 135587578516123. The reversal of 135587578516117 is 711615875785531.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-135587578516117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135587578516147) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 60000492 + ... + 62219242.

It is an arithmetic number, because the mean of its divisors is an integer number (10429833964032).

Almost surely, 2^{135587578516117} is an apocalyptic number.

It is an amenable number.

135587578516117 is a deficient number, since it is larger than the sum of its proper divisors (31289764908395).

135587578516117 is a wasteful number, since it uses less digits than its factorization.

135587578516117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2890308.

The product of its digits is 246960000, while the sum is 70.

The spelling of 135587578516117 in words is "one hundred thirty-five trillion, five hundred eighty-seven billion, five hundred seventy-eight million, five hundred sixteen thousand, one hundred seventeen".