138585456567 has 24 divisors (see below), whose sum is σ = 205611373968. Its totient is φ = 89895139200.

The previous prime is 138585456557. The next prime is 138585456571. The reversal of 138585456567 is 765654585831.

138585456567 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 8 + 5 + 4 + 565 + 67 = 666.

138585456567 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 138585456567 - 2⁸ = 138585456311 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138585456517) 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 23 ways as a sum of consecutive naturals, for example, 365809 + ... + 641082.

It is an arithmetic number, because the mean of its divisors is an integer number (8567140582).

Almost surely, 2^138585456567 is an apocalyptic number.

138585456567 is a deficient number, since it is larger than the sum of its proper divisors (67025917401).

138585456567 is a wasteful number, since it uses less digits than its factorization.

138585456567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007311 (or 1007308 counting only the distinct ones).

The product of its digits is 120960000, while the sum is 63.

The spelling of 138585456567 in words is "one hundred thirty-eight billion, five hundred eighty-five million, four hundred fifty-six thousand, five hundred sixty-seven".