164148336 has 80 divisors (see below), whose sum is σ = 514014720. Its totient is φ = 49740480.

The previous prime is 164148301. The next prime is 164148337. The reversal of 164148336 is 633841461.

It is a happy number.

164148336 is a `hidden beast` number, since 1 + 641 + 4 + 8 + 3 + 3 + 6 = 666.

164148336 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 164148336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164148337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12520 + ... + 22023.

It is an arithmetic number, because the mean of its divisors is an integer number (6425184).

Almost surely, 2^164148336 is an apocalyptic number.

164148336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

164148336 is an abundant number, since it is smaller than the sum of its proper divisors (349866384).

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

164148336 is a wasteful number, since it uses less digits than its factorization.

164148336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34571 (or 34559 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 164148336 is about 12812.0387136474. The cubic root of 164148336 is about 547.5353476897.

Adding to 164148336 its reverse (633841461), we get a palindrome (797989797).

The spelling of 164148336 in words is "one hundred sixty-four million, one hundred forty-eight thousand, three hundred thirty-six".