180147 has 16 divisors (see below), whose sum is σ = 269568. Its totient is φ = 106080.

The previous prime is 180137. The next prime is 180161. The reversal of 180147 is 741081.

It is not a de Polignac number, because 180147 - 2¹² = 176051 is a prime.

It is not an unprimeable number, because it can be changed into a prime (180137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1698 + ... + 1800.

It is an arithmetic number, because the mean of its divisors is an integer number (16848).

2¹⁸⁰¹⁴⁷ is an apocalyptic number.

180147 is a deficient number, since it is larger than the sum of its proper divisors (89421).

180147 is a wasteful number, since it uses less digits than its factorization.

180147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170.

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 180147 is about 424.4372745177. The cubic root of 180147 is about 56.4775278058.

The spelling of 180147 in words is "one hundred eighty thousand, one hundred forty-seven".