180374337025 has 45 divisors (see below), whose sum is σ = 233968467613. Its totient is φ = 137944184000.

The previous prime is 180374337007. The next prime is 180374337029. The reversal of 180374337025 is 520733473081.

The square root of 180374337025 is 424705.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 139982984449 + 40391352576 = 374143^2 + 200976^2 .

It is not a de Polignac number, because 180374337025 - 2¹³ = 180374328833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (180374337029) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1785884475 + ... + 1785884575.

Almost surely, 2^180374337025 is an apocalyptic number.

180374337025 is the 424705-th square number.

180374337025 is the 212353-rd centered octagonal number.

It is an amenable number.

180374337025 is a deficient number, since it is larger than the sum of its proper divisors (53594130588).

180374337025 is an frugal number, since it uses more digits than its factorization.

180374337025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 43.

The spelling of 180374337025 in words is "one hundred eighty billion, three hundred seventy-four million, three hundred thirty-seven thousand, twenty-five".