321134202144 has 144 divisors (see below), whose sum is σ = 1044669487680. Its totient is φ = 91666183680.

The previous prime is 321134202089. The next prime is 321134202187. The reversal of 321134202144 is 441202431123.

321134202144 is a `hidden beast` number, since 3 + 21 + 1 + 3 + 420 + 214 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2080599 + ... + 2229609.

It is an arithmetic number, because the mean of its divisors is an integer number (7254649220).

Almost surely, 2^321134202144 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 321134202144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522334743840).

321134202144 is an abundant number, since it is smaller than the sum of its proper divisors (723535285536).

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

321134202144 is a wasteful number, since it uses less digits than its factorization.

321134202144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150103 (or 150092 counting only the distinct ones).

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

Adding to 321134202144 its reverse (441202431123), we get a palindrome (762336633267).

The spelling of 321134202144 in words is "three hundred twenty-one billion, one hundred thirty-four million, two hundred two thousand, one hundred forty-four".