164442144 has 72 divisors (see below), whose sum is σ = 442879920. Its totient is φ = 53424640.

The previous prime is 164442127. The next prime is 164442149. The reversal of 164442144 is 441244461.

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

It is not an unprimeable number, because it can be changed into a prime (164442149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 160867 + ... + 161885.

It is an arithmetic number, because the mean of its divisors is an integer number (6151110).

Almost surely, 2^164442144 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 164442144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221439960).

164442144 is an abundant number, since it is smaller than the sum of its proper divisors (278437776).

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

164442144 is a wasteful number, since it uses less digits than its factorization.

164442144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1065 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 164442144 is about 12823.4996783249. The cubic root of 164442144 is about 547.8618295871.

The spelling of 164442144 in words is "one hundred sixty-four million, four hundred forty-two thousand, one hundred forty-four".