180157 has 4 divisors (see below), whose sum is σ = 181116. Its totient is φ = 179200.

The previous prime is 180137. The next prime is 180161. The reversal of 180157 is 751081.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 751081 = 43 ⋅17467.

It can be written as a sum of positive squares in 2 ways, for example, as 168921 + 11236 = 411^2 + 106^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-180157 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a plaindrome in base 11.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180137) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 94 + ... + 607.

It is an arithmetic number, because the mean of its divisors is an integer number (45279).

2¹⁸⁰¹⁵⁷ is an apocalyptic number.

It is an amenable number.

180157 is a deficient number, since it is larger than the sum of its proper divisors (959).

180157 is an equidigital number, since it uses as much as digits as its factorization.

180157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958.

The product of its (nonzero) digits is 280, while the sum is 22.

The square root of 180157 is about 424.4490546579. The cubic root of 180157 is about 56.4785728131.

The spelling of 180157 in words is "one hundred eighty thousand, one hundred fifty-seven".