180237312 has 220 divisors, whose sum is σ = 561754116. Its totient is φ = 57507840.

The previous prime is 180237311. The next prime is 180237329. The reversal of 180237312 is 213732081.

It can be written as a sum of positive squares in 2 ways, for example, as 60466176 + 119771136 = 7776^2 + 10944^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180237311) 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 19 ways as a sum of consecutive naturals, for example, 3400678 + ... + 3400730.

Almost surely, 2^180237312 is an apocalyptic number.

180237312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180237312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280877058).

180237312 is an abundant number, since it is smaller than the sum of its proper divisors (381516804).

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

180237312 is an equidigital number, since it uses as much as digits as its factorization.

180237312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 180237312 is about 13425.2490479693. The cubic root of 180237312 is about 564.8696407426.

Adding to 180237312 its reverse (213732081), we get a palindrome (393969393).

The spelling of 180237312 in words is "one hundred eighty million, two hundred thirty-seven thousand, three hundred twelve".