180052 has 6 divisors (see below), whose sum is σ = 315098. Its totient is φ = 90024.

The previous prime is 180043. The next prime is 180053. The reversal of 180052 is 250081.

It is a happy number.

180052 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 104976 + 75076 = 324^2 + 274^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22503 + ... + 22510.

2¹⁸⁰⁰⁵² is an apocalyptic number.

It is an amenable number.

180052 is a deficient number, since it is larger than the sum of its proper divisors (135046).

180052 is a wasteful number, since it uses less digits than its factorization.

180052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45017 (or 45015 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 180052 is about 424.3253468743. The cubic root of 180052 is about 56.4675983064.

The spelling of 180052 in words is "one hundred eighty thousand, fifty-two".