180136 has 32 divisors (see below), whose sum is σ = 388800. Its totient is φ = 77440.

The previous prime is 180097. The next prime is 180137. The reversal of 180136 is 631081.

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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1980 + ... + 2068.

It is an arithmetic number, because the mean of its divisors is an integer number (12150).

2¹⁸⁰¹³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194400).

180136 is an abundant number, since it is smaller than the sum of its proper divisors (208664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

180136 is a wasteful number, since it uses less digits than its factorization.

180136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 180136 is about 424.4243159858. The cubic root of 180136 is about 56.4763782530.

The spelling of 180136 in words is "one hundred eighty thousand, one hundred thirty-six".