180138816 has 280 divisors, whose sum is σ = 629924064. Its totient is φ = 50388480.

The previous prime is 180138787. The next prime is 180138869. The reversal of 180138816 is 618831081.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 13856826 + ... + 13856838.

Almost surely, 2^180138816 is an apocalyptic number.

180138816 is a gapful number since it is divisible by the number (16) 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 180138816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314962032).

180138816 is an abundant number, since it is smaller than the sum of its proper divisors (449785248).

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

180138816 is an frugal number, since it uses more digits than its factorization.

180138816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 180138816 is about 13421.5802348308. The cubic root of 180138816 is about 564.7667254296.

Adding to 180138816 its reverse (618831081), we get a palindrome (798969897).

The spelling of 180138816 in words is "one hundred eighty million, one hundred thirty-eight thousand, eight hundred sixteen".