164322144 has 72 divisors (see below), whose sum is σ = 534053520. Its totient is φ = 46948608.

The previous prime is 164322131. The next prime is 164322161. The reversal of 164322144 is 441223461.

It is a happy number.

164322144 is a `hidden beast` number, since 1 + 643 + 2 + 2 + 14 + 4 = 666.

164322144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38739 + ... + 42770.

It is an arithmetic number, because the mean of its divisors is an integer number (7417410).

Almost surely, 2^164322144 is an apocalyptic number.

164322144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

164322144 is an abundant number, since it is smaller than the sum of its proper divisors (369731376).

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

164322144 is a wasteful number, since it uses less digits than its factorization.

164322144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81532 (or 81521 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 164322144 is about 12818.8199144851. The cubic root of 164322144 is about 547.7285316050.

The spelling of 164322144 in words is "one hundred sixty-four million, three hundred twenty-two thousand, one hundred forty-four".