320138540792 has 192 divisors, whose sum is σ = 728645829120. Its totient is φ = 131378429952.

The previous prime is 320138540789. The next prime is 320138540801. The reversal of 320138540792 is 297045831023.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 290242913 + ... + 290244015.

It is an arithmetic number, because the mean of its divisors is an integer number (3795030360).

Almost surely, 2^320138540792 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 320138540792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364322914560).

320138540792 is an abundant number, since it is smaller than the sum of its proper divisors (408507288328).

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

320138540792 is a wasteful number, since it uses less digits than its factorization.

320138540792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 320138540792 in words is "three hundred twenty billion, one hundred thirty-eight million, five hundred forty thousand, seven hundred ninety-two".