322134144 has 64 divisors (see below), whose sum is σ = 883303680. Its totient is φ = 103910400.

The previous prime is 322134143. The next prime is 322134161. The reversal of 322134144 is 441431223.

322134144 is digitally balanced in base 3, 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 (64).

It is a super-2 number, since 2×322134144² = 207540813461225472, which contains 22 as substring.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322134143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1627 + ... + 25434.

It is an arithmetic number, because the mean of its divisors is an integer number (13801620).

Almost surely, 2^322134144 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 322134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441651840).

322134144 is an abundant number, since it is smaller than the sum of its proper divisors (561169536).

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

322134144 is a wasteful number, since it uses less digits than its factorization.

322134144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27109 (or 27097 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 322134144 is about 17948.0958321489. The cubic root of 322134144 is about 685.5075670530.

Adding to 322134144 its reverse (441431223), we get a palindrome (763565367).

The spelling of 322134144 in words is "three hundred twenty-two million, one hundred thirty-four thousand, one hundred forty-four".