135313963945587 has 64 divisors (see below), whose sum is σ = 232008022528000. Its totient is φ = 76341864628224.

The previous prime is 135313963945519. The next prime is 135313963945651. The reversal of 135313963945587 is 785549369313531.

It is a happy number.

135313963945587 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 1 + 3 + 9 + 6 + 39 + 4 + 5 + 587 = 666.

It is not a de Polignac number, because 135313963945587 - 2⁸ = 135313963945331 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135313961945587) 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 63 ways as a sum of consecutive naturals, for example, 1158124323 + ... + 1158241155.

It is an arithmetic number, because the mean of its divisors is an integer number (3625125352000).

Almost surely, 2^{135313963945587} is an apocalyptic number.

135313963945587 is a deficient number, since it is larger than the sum of its proper divisors (96694058582413).

135313963945587 is a wasteful number, since it uses less digits than its factorization.

135313963945587 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194497 (or 194491 counting only the distinct ones).

The product of its digits is 1102248000, while the sum is 72.

The spelling of 135313963945587 in words is "one hundred thirty-five trillion, three hundred thirteen billion, nine hundred sixty-three million, nine hundred forty-five thousand, five hundred eighty-seven".