164146320 has 360 divisors, whose sum is σ = 637191360. Its totient is φ = 37739520.

The previous prime is 164146313. The next prime is 164146321. The reversal of 164146320 is 23641461.

164146320 is a `hidden beast` number, since 16 + 4 + 14 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164146321) 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 71 ways as a sum of consecutive naturals, for example, 2311885 + ... + 2311955.

It is an arithmetic number, because the mean of its divisors is an integer number (1769976).

Almost surely, 2^164146320 is an apocalyptic number.

164146320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164146320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318595680).

164146320 is an abundant number, since it is smaller than the sum of its proper divisors (473045040).

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

164146320 is a wasteful number, since it uses less digits than its factorization.

164146320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 164146320 is about 12811.9600374026. The cubic root of 164146320 is about 547.5331061485.

Adding to 164146320 its reverse (23641461), we get a palindrome (187787781).

It can be divided in two parts, 1641 and 46320, that added together give a square (47961 = 219²).

The spelling of 164146320 in words is "one hundred sixty-four million, one hundred forty-six thousand, three hundred twenty".