32820138162 has 144 divisors (see below), whose sum is σ = 83610551232. Its totient is φ = 9303971040.

The previous prime is 32820138151. The next prime is 32820138193. The reversal of 32820138162 is 26183102823.

It is a super-2 number, since 2×32820138162² (a number of 22 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 47496237 + ... + 47496927.

It is an arithmetic number, because the mean of its divisors is an integer number (580628828).

Almost surely, 2^32820138162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32820138162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41805275616).

32820138162 is an abundant number, since it is smaller than the sum of its proper divisors (50790413070).

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

32820138162 is an equidigital number, since it uses as much as digits as its factorization.

32820138162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 32820138162 in words is "thirty-two billion, eight hundred twenty million, one hundred thirty-eight thousand, one hundred sixty-two".