135564660967567 has 16 divisors (see below), whose sum is σ = 146041660896768. Its totient is φ = 125094660657120.

The previous prime is 135564660967511. The next prime is 135564660967621. The reversal of 135564660967567 is 765769066465531.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-135564660967567 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 135564660967493 and 135564660967502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135564660937567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 493573758 + ... + 493848340.

It is an arithmetic number, because the mean of its divisors is an integer number (9127603806048).

Almost surely, 2^{135564660967567} is an apocalyptic number.

135564660967567 is a deficient number, since it is larger than the sum of its proper divisors (10476999929201).

135564660967567 is a wasteful number, since it uses less digits than its factorization.

135564660967567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287190.

The product of its (nonzero) digits is 5143824000, while the sum is 76.

The spelling of 135564660967567 in words is "one hundred thirty-five trillion, five hundred sixty-four billion, six hundred sixty million, nine hundred sixty-seven thousand, five hundred sixty-seven".