180149 has 4 divisors (see below), whose sum is σ = 190764. Its totient is φ = 169536.

The previous prime is 180137. The next prime is 180161. The reversal of 180149 is 941081.

180149 = T₁₃₇ + T₁₃₈ + ... + T₁₅₃.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 941081 = 47 ⋅20023.

It is an interprime number because it is at equal distance from previous prime (180137) and next prime (180161).

It can be written as a sum of positive squares in 2 ways, for example, as 62500 + 117649 = 250^2 + 343^2 .

It is a cyclic number.

It is not a de Polignac number, because 180149 - 2¹² = 176053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180179) 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 3 ways as a sum of consecutive naturals, for example, 5282 + ... + 5315.

It is an arithmetic number, because the mean of its divisors is an integer number (47691).

2¹⁸⁰¹⁴⁹ is an apocalyptic number.

It is an amenable number.

180149 is a deficient number, since it is larger than the sum of its proper divisors (10615).

180149 is a wasteful number, since it uses less digits than its factorization.

180149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10614.

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 180149 is about 424.4396305719. The cubic root of 180149 is about 56.4777368103.

The spelling of 180149 in words is "one hundred eighty thousand, one hundred forty-nine".