180156 has 12 divisors (see below), whose sum is σ = 420392. Its totient is φ = 60048.

The previous prime is 180137. The next prime is 180161. The reversal of 180156 is 651081.

180156 = 10² + 11² + ... + 81².

It is a tau number, because it is divible by the number of its divisors (12).

It is a plaindrome in base 11.

It is a nialpdrome in base 12.

It is a zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

180156 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 7495 + ... + 7518.

2¹⁸⁰¹⁵⁶ is an apocalyptic number.

It is an amenable number.

180156 is an abundant number, since it is smaller than the sum of its proper divisors (240236).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

180156 is a wasteful number, since it uses less digits than its factorization.

180156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15020 (or 15018 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 180156 is about 424.4478766586. The cubic root of 180156 is about 56.4784683141.

The spelling of 180156 in words is "one hundred eighty thousand, one hundred fifty-six".