132164001567 has 16 divisors (see below), whose sum is σ = 210859946080. Its totient is φ = 81331693056.

The previous prime is 132164001547. The next prime is 132164001583. The reversal of 132164001567 is 765100461231.

132164001567 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 640 + 0 + 1 + 5 + 6 + 7 = 666.

It is not a de Polignac number, because 132164001567 - 2¹⁰ = 132164000543 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132164001547) 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, 188267458 + ... + 188268159.

It is an arithmetic number, because the mean of its divisors is an integer number (13178746630).

Almost surely, 2^132164001567 is an apocalyptic number.

132164001567 is a deficient number, since it is larger than the sum of its proper divisors (78695944513).

132164001567 is a wasteful number, since it uses less digits than its factorization.

132164001567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376535639 (or 376535633 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 132164001567 its reverse (765100461231), we get a palindrome (897264462798).

The spelling of 132164001567 in words is "one hundred thirty-two billion, one hundred sixty-four million, one thousand, five hundred sixty-seven".