180145 has 8 divisors (see below), whose sum is σ = 247104. Its totient is φ = 123504.

The previous prime is 180137. The next prime is 180161. The reversal of 180145 is 541081.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 180145 - 2³ = 180137 is a prime.

It is a Duffinian number.

It is a plaindrome in base 11.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2539 + ... + 2608.

It is an arithmetic number, because the mean of its divisors is an integer number (30888).

2¹⁸⁰¹⁴⁵ is an apocalyptic number.

It is an amenable number.

180145 is a deficient number, since it is larger than the sum of its proper divisors (66959).

180145 is an equidigital number, since it uses as much as digits as its factorization.

180145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5159.

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 180145 is about 424.4349184504. The cubic root of 180145 is about 56.4773187997.

It can be divided in two parts, 180 and 145, that added together give a triangular number (325 = T₂₅).

The spelling of 180145 in words is "one hundred eighty thousand, one hundred forty-five".