180000252 has 48 divisors (see below), whose sum is σ = 469324800. Its totient is φ = 59658480.

The previous prime is 180000173. The next prime is 180000259. The reversal of 180000252 is 252000081.

180000252 is digitally balanced in base 3 and base 9, 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 (18).

180000252 is a modest number, since divided by 252 gives 180 as remainder.

180000252 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180000259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14677 + ... + 23987.

It is an arithmetic number, because the mean of its divisors is an integer number (9777600).

Almost surely, 2^180000252 is an apocalyptic number.

180000252 is a gapful number since it is divisible by the number (12) 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 180000252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234662400).

180000252 is an abundant number, since it is smaller than the sum of its proper divisors (289324548).

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

180000252 is a wasteful number, since it uses less digits than its factorization.

180000252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9503 (or 9495 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 180000252 is about 13416.4172564810. The cubic root of 180000252 is about 564.6218808186.

The spelling of 180000252 in words is "one hundred eighty million, two hundred fifty-two", and thus it is an aban number.