164138304 has 224 divisors, whose sum is σ = 514990080. Its totient is φ = 45619200.

The previous prime is 164138257. The next prime is 164138309. The reversal of 164138304 is 403831461.

164138304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164138309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1505802 + ... + 1505910.

Almost surely, 2^164138304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164138304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257495040).

164138304 is an abundant number, since it is smaller than the sum of its proper divisors (350851776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164138304 is a wasteful number, since it uses less digits than its factorization.

164138304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 164138304 is about 12811.6472008872. The cubic root of 164138304 is about 547.5241931721.

Adding to 164138304 its reverse (403831461), we get a palindrome (567969765).

The spelling of 164138304 in words is "one hundred sixty-four million, one hundred thirty-eight thousand, three hundred four".