164220133200 has 240 divisors, whose sum is σ = 533719411200. Its totient is φ = 43158044160.

The previous prime is 164220133171. The next prime is 164220133247. The reversal of 164220133200 is 2331022461.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25548387 + ... + 25554813.

It is an arithmetic number, because the mean of its divisors is an integer number (2223830880).

Almost surely, 2^164220133200 is an apocalyptic number.

164220133200 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 164220133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266859705600).

164220133200 is an abundant number, since it is smaller than the sum of its proper divisors (369499278000).

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

164220133200 is a wasteful number, since it uses less digits than its factorization.

164220133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6754 (or 6743 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 164220133200 its reverse (2331022461), we get a palindrome (166551155661).

The spelling of 164220133200 in words is "one hundred sixty-four billion, two hundred twenty million, one hundred thirty-three thousand, two hundred".