180745344 has 224 divisors, whose sum is σ = 585301500. Its totient is φ = 55240704.

The previous prime is 180745337. The next prime is 180745373. The reversal of 180745344 is 443547081.

It can be written as a sum of positive squares in 2 ways, for example, as 151585344 + 29160000 = 12312^2 + 5400^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 180745299 and 180745308.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1212982 + ... + 1213130.

Almost surely, 2^180745344 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 180745344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292650750).

180745344 is an abundant number, since it is smaller than the sum of its proper divisors (404556156).

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

180745344 is an equidigital number, since it uses as much as digits as its factorization.

180745344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 180745344 is about 13444.1565001305. The cubic root of 180745344 is about 565.3998725130.

The spelling of 180745344 in words is "one hundred eighty million, seven hundred forty-five thousand, three hundred forty-four".