180131328000 has 1248 divisors, whose sum is σ = 729304622592. Its totient is φ = 42467328000.

The previous prime is 180131327989. The next prime is 180131328001. The reversal of 180131328000 is 823131081.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180131328001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1857023952 + ... + 1857024048.

It is an arithmetic number, because the mean of its divisors is an integer number (584378704).

Almost surely, 2^180131328000 is an apocalyptic number.

180131328000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180131328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364652311296).

180131328000 is an abundant number, since it is smaller than the sum of its proper divisors (549173294592).

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

180131328000 is a wasteful number, since it uses less digits than its factorization.

180131328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 180131328000 its reverse (823131081), we get a palindrome (180954459081).

The spelling of 180131328000 in words is "one hundred eighty billion, one hundred thirty-one million, three hundred twenty-eight thousand".