150180 has 24 divisors (see below), whose sum is σ = 420672. Its totient is φ = 40032.

The previous prime is 150169. The next prime is 150193. The reversal of 150180 is 81051.

It is a happy number.

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

It is an unprimeable number.

150180 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1192 + ... + 1311.

It is an arithmetic number, because the mean of its divisors is an integer number (17528).

2¹⁵⁰¹⁸⁰ is an apocalyptic number.

150180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150180 is an abundant number, since it is smaller than the sum of its proper divisors (270492).

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

150180 is a wasteful number, since it uses less digits than its factorization.

150180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2515 (or 2513 counting only the distinct ones).

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

The square root of 150180 is about 387.5306439496. The cubic root of 150180 is about 53.1541731349.

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

The spelling of 150180 in words is "one hundred fifty thousand, one hundred eighty".