150309 has 16 divisors (see below), whose sum is σ = 235200. Its totient is φ = 94608.

The previous prime is 150301. The next prime is 150323. The reversal of 150309 is 903051.

It is not a de Polignac number, because 150309 - 2³ = 150301 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 150291 and 150300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150301) 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, 367 + ... + 659.

It is an arithmetic number, because the mean of its divisors is an integer number (14700).

2¹⁵⁰³⁰⁹ is an apocalyptic number.

150309 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

150309 is a deficient number, since it is larger than the sum of its proper divisors (84891).

150309 is a wasteful number, since it uses less digits than its factorization.

150309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 150309 is about 387.6970466743. The cubic root of 150309 is about 53.1693880459.

The spelling of 150309 in words is "one hundred fifty thousand, three hundred nine".