132164417 has 32 divisors (see below), whose sum is σ = 175564800. Its totient is φ = 98442960.

The previous prime is 132164363. The next prime is 132164419. The reversal of 132164417 is 714461231.

It is a happy number.

It is not a de Polignac number, because 132164417 - 2⁸ = 132164161 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 132164417.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132164419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86018 + ... + 87540.

It is an arithmetic number, because the mean of its divisors is an integer number (5486400).

Almost surely, 2^132164417 is an apocalyptic number.

It is an amenable number.

132164417 is a deficient number, since it is larger than the sum of its proper divisors (43400383).

132164417 is a wasteful number, since it uses less digits than its factorization.

132164417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 1564 counting only the distinct ones).

The product of its digits is 4032, while the sum is 29.

The square root of 132164417 is about 11496.2783978121. The cubic root of 132164417 is about 509.3756514576.

The spelling of 132164417 in words is "one hundred thirty-two million, one hundred sixty-four thousand, four hundred seventeen".