180013000 has 64 divisors (see below), whose sum is σ = 446050800. Its totient is φ = 67763200.

The previous prime is 180012979. The next prime is 180013003. The reversal of 180013000 is 310081.

It can be written as a sum of positive squares in 8 ways, for example, as 2643876 + 177369124 = 1626^2 + 13318^2 .

It is not an unprimeable number, because it can be changed into a prime (180013003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11706 + ... + 22294.

Almost surely, 2^180013000 is an apocalyptic number.

180013000 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 180013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223025400).

180013000 is an abundant number, since it is smaller than the sum of its proper divisors (266037800).

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

180013000 is a wasteful number, since it uses less digits than its factorization.

180013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10627 (or 10613 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 180013000 is about 13416.8923376466. The cubic root of 180013000 is about 564.6352097440.

Adding to 180013000 its reverse (310081), we get a palindrome (180323081).

The spelling of 180013000 in words is "one hundred eighty million, thirteen thousand".