180936126 has 192 divisors, whose sum is σ = 508896000. Its totient is φ = 47355840.

The previous prime is 180936109. The next prime is 180936127. The reversal of 180936126 is 621639081.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180936127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2966136 + ... + 2966196.

It is an arithmetic number, because the mean of its divisors is an integer number (2650500).

Almost surely, 2^180936126 is an apocalyptic number.

180936126 is the 6726-th decagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180936126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254448000).

180936126 is an abundant number, since it is smaller than the sum of its proper divisors (327959874).

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

180936126 is a wasteful number, since it uses less digits than its factorization.

180936126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 180936126 is about 13451.2499790912. The cubic root of 180936126 is about 565.5987345984.

The spelling of 180936126 in words is "one hundred eighty million, nine hundred thirty-six thousand, one hundred twenty-six".