180153 has 12 divisors (see below), whose sum is σ = 267748. Its totient is φ = 116640.

The previous prime is 180137. The next prime is 180161. The reversal of 180153 is 351081.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 121104 + 59049 = 348^2 + 243^2 .

It is not a de Polignac number, because 180153 - 2⁴ = 180137 is a prime.

It is a super-3 number, since 3×180153³ = 17540652733324731, which contains 333 as substring.

It is a Duffinian number.

It is a Curzon 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 (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63 + ... + 603.

2¹⁸⁰¹⁵³ is an apocalyptic number.

It is an amenable number.

180153 is a deficient number, since it is larger than the sum of its proper divisors (87595).

180153 is a wasteful number, since it uses less digits than its factorization.

180153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 180153 is about 424.4443426411. Note that the first 3 decimals coincide. The cubic root of 180153 is about 56.4781548148.

It can be divided in two parts, 18015 and 3, that multiplied together give a palindrome (54045).

The spelling of 180153 in words is "one hundred eighty thousand, one hundred fifty-three".