180135 has 12 divisors (see below), whose sum is σ = 312312. Its totient is φ = 96048.

The previous prime is 180097. The next prime is 180137. The reversal of 180135 is 531081.

It is a happy number.

It is not a de Polignac number, because 180135 - 2⁶ = 180071 is a prime.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 11.

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 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, 1957 + ... + 2046.

It is an arithmetic number, because the mean of its divisors is an integer number (26026).

2¹⁸⁰¹³⁵ is an apocalyptic number.

180135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

180135 is a deficient number, since it is larger than the sum of its proper divisors (132177).

180135 is a wasteful number, since it uses less digits than its factorization.

180135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4014 (or 4011 counting only the distinct ones).

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

The square root of 180135 is about 424.4231379178. The cubic root of 180135 is about 56.4762737459.

The spelling of 180135 in words is "one hundred eighty thousand, one hundred thirty-five".