135586855735137 has 48 divisors (see below), whose sum is σ = 205174438560000. Its totient is φ = 86165855822592.

The previous prime is 135586855735129. The next prime is 135586855735153. The reversal of 135586855735137 is 731537558685531.

135586855735137 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 8 + 6 + 8 + 557 + 35 + 1 + 37 = 666.

It is not a de Polignac number, because 135586855735137 - 2³ = 135586855735129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135586855735937) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 527243614 + ... + 527500712.

It is an arithmetic number, because the mean of its divisors is an integer number (4274467470000).

Almost surely, 2^{135586855735137} is an apocalyptic number.

It is an amenable number.

135586855735137 is a deficient number, since it is larger than the sum of its proper divisors (69587582824863).

135586855735137 is a wasteful number, since it uses less digits than its factorization.

135586855735137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282790 (or 282787 counting only the distinct ones).

The product of its digits is 1587600000, while the sum is 72.

The spelling of 135586855735137 in words is "one hundred thirty-five trillion, five hundred eighty-six billion, eight hundred fifty-five million, seven hundred thirty-five thousand, one hundred thirty-seven".