180150 has 24 divisors (see below), whose sum is σ = 447144. Its totient is φ = 48000.

The previous prime is 180137. The next prime is 180161. The reversal of 180150 is 51081.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

180150 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 11 ways as a sum of consecutive naturals, for example, 451 + ... + 750.

It is an arithmetic number, because the mean of its divisors is an integer number (18631).

2¹⁸⁰¹⁵⁰ is an apocalyptic number.

180150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

180150 is an abundant number, since it is smaller than the sum of its proper divisors (266994).

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

180150 is a wasteful number, since it uses less digits than its factorization.

180150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 180150 is about 424.4408085941. The cubic root of 180150 is about 56.4778413120.

It can be divided in two parts, 180 and 150, that multiplied together give a cube (27000 = 30³).

The spelling of 180150 in words is "one hundred eighty thousand, one hundred fifty".