150306 has 32 divisors (see below), whose sum is σ = 338688. Its totient is φ = 44160.

The previous prime is 150301. The next prime is 150323. The reversal of 150306 is 603051.

It is not an unprimeable number, because it can be changed into a prime (150301) by changing a digit.

150306 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 15 ways as a sum of consecutive naturals, for example, 3175 + ... + 3221.

It is an arithmetic number, because the mean of its divisors is an integer number (10584).

2¹⁵⁰³⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169344).

150306 is an abundant number, since it is smaller than the sum of its proper divisors (188382).

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

150306 is a wasteful number, since it uses less digits than its factorization.

150306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 150306 is about 387.6931776547. The cubic root of 150306 is about 53.1690343096.

Adding to 150306 its reverse (603051), we get a palindrome (753357).

The spelling of 150306 in words is "one hundred fifty thousand, three hundred six".