180138000 has 160 divisors (see below), whose sum is σ = 663886080. Its totient is φ = 41164800.

The previous prime is 180137999. The next prime is 180138011. The reversal of 180138000 is 831081.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 39856 + ... + 44144.

It is an arithmetic number, because the mean of its divisors is an integer number (4149288).

Almost surely, 2^180138000 is an apocalyptic number.

180138000 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 180138000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331943040).

180138000 is an abundant number, since it is smaller than the sum of its proper divisors (483748080).

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

180138000 is a wasteful number, since it uses less digits than its factorization.

180138000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4322 (or 4306 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 180138000 is about 13421.5498359914. The cubic root of 180138000 is about 564.7658726607.

Adding to 180138000 its reverse (831081), we get a palindrome (180969081).

The spelling of 180138000 in words is "one hundred eighty million, one hundred thirty-eight thousand".