180149305 has 16 divisors (see below), whose sum is σ = 255582720. Its totient is φ = 119270592.

The previous prime is 180149293. The next prime is 180149329. The reversal of 180149305 is 503941081.

It is not a de Polignac number, because 180149305 - 2¹⁷ = 180018233 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87729 + ... + 89758.

It is an arithmetic number, because the mean of its divisors is an integer number (15973920).

Almost surely, 2^180149305 is an apocalyptic number.

It is an amenable number.

180149305 is a deficient number, since it is larger than the sum of its proper divisors (75433415).

180149305 is a wasteful number, since it uses less digits than its factorization.

180149305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177528.

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 180149305 is about 13421.9709804484. The cubic root of 180149305 is about 564.7776868340. Note that the first 3 decimals are identical.

The spelling of 180149305 in words is "one hundred eighty million, one hundred forty-nine thousand, three hundred five".