180138168 has 160 divisors (see below), whose sum is σ = 582658560. Its totient is φ = 50932800.

The previous prime is 180138157. The next prime is 180138173. The reversal of 180138168 is 861831081.

180138168 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 684805 + ... + 685067.

It is an arithmetic number, because the mean of its divisors is an integer number (3641616).

Almost surely, 2^180138168 is an apocalyptic number.

180138168 is a gapful number since it is divisible by the number (18) 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 180138168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291329280).

180138168 is an abundant number, since it is smaller than the sum of its proper divisors (402520392).

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

180138168 is a wasteful number, since it uses less digits than its factorization.

180138168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 426 counting only the distinct ones).

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

The square root of 180138168 is about 13421.5560945816. The cubic root of 180138168 is about 564.7660482310.

The spelling of 180138168 in words is "one hundred eighty million, one hundred thirty-eight thousand, one hundred sixty-eight".