180145305 has 24 divisors (see below), whose sum is σ = 314645760. Its totient is φ = 95340960.

The previous prime is 180145283. The next prime is 180145319. The reversal of 180145305 is 503541081.

It is not a de Polignac number, because 180145305 - 2⁶ = 180145241 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9385 + ... + 21174.

It is an arithmetic number, because the mean of its divisors is an integer number (13110240).

Almost surely, 2^180145305 is an apocalyptic number.

180145305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

180145305 is a deficient number, since it is larger than the sum of its proper divisors (134500455).

180145305 is a wasteful number, since it uses less digits than its factorization.

180145305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30701 (or 30698 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 180145305 is about 13421.8219702096. The cubic root of 180145305 is about 564.7735067319.

Adding to 180145305 its reverse (503541081), we get a palindrome (683686386).

The spelling of 180145305 in words is "one hundred eighty million, one hundred forty-five thousand, three hundred five".