180114900 has 144 divisors (see below), whose sum is σ = 599961600. Its totient is φ = 40867200.

The previous prime is 180114899. The next prime is 180114901. The reversal of 180114900 is 9411081.

180114900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (180114899) and next prime (180114901).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180114901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 417685 + ... + 418115.

It is an arithmetic number, because the mean of its divisors is an integer number (4166400).

Almost surely, 2^180114900 is an apocalyptic number.

180114900 is a gapful number since it is divisible by the number (10) 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 180114900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299980800).

180114900 is an abundant number, since it is smaller than the sum of its proper divisors (419846700).

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

180114900 is a wasteful number, since it uses less digits than its factorization.

180114900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 180114900 is about 13420.6892520466. The cubic root of 180114900 is about 564.7417307078.

Adding to 180114900 its reverse (9411081), we get a palindrome (189525981).

The spelling of 180114900 in words is "one hundred eighty million, one hundred fourteen thousand, nine hundred".