309150 has 48 divisors (see below), whose sum is σ = 855600. Its totient is φ = 82080.

The previous prime is 309137. The next prime is 309157. The reversal of 309150 is 51903.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (309157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1236 + ... + 1464.

It is an arithmetic number, because the mean of its divisors is an integer number (17825).

2³⁰⁹¹⁵⁰ is an apocalyptic number.

309150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 309150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427800).

309150 is an abundant number, since it is smaller than the sum of its proper divisors (546450).

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

309150 is a wasteful number, since it uses less digits than its factorization.

309150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 239 counting only the distinct ones).

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

The square root of 309150 is about 556.0125897855. The cubic root of 309150 is about 67.6170807532.

It can be divided in two parts, 30 and 9150, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 309150 in words is "three hundred nine thousand, one hundred fifty".