164138513 has 8 divisors (see below), whose sum is σ = 204640320. Its totient is φ = 127900080.

The previous prime is 164138503. The next prime is 164138561. The reversal of 164138513 is 315831461.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 164138513 - 2⁴ = 164138497 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 164138513.

It is not an unprimeable number, because it can be changed into a prime (164138503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1065758 + ... + 1065911.

It is an arithmetic number, because the mean of its divisors is an integer number (25580040).

Almost surely, 2^164138513 is an apocalyptic number.

It is an amenable number.

164138513 is a deficient number, since it is larger than the sum of its proper divisors (40501807).

164138513 is a wasteful number, since it uses less digits than its factorization.

164138513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131687.

The product of its digits is 8640, while the sum is 32.

The square root of 164138513 is about 12811.6553575250. The cubic root of 164138513 is about 547.5244255625.

Adding to 164138513 its reverse (315831461), we get a palindrome (479969974).

The spelling of 164138513 in words is "one hundred sixty-four million, one hundred thirty-eight thousand, five hundred thirteen".