315150 has 48 divisors (see below), whose sum is σ = 857088. Its totient is φ = 76000.

The previous prime is 315127. The next prime is 315179. The reversal of 315150 is 51513.

315150 = T₂₅ + T₂₆ + ... + T₁₂₃.

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.

315150 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1555 + ... + 1745.

It is an arithmetic number, because the mean of its divisors is an integer number (17856).

2³¹⁵¹⁵⁰ is an apocalyptic number.

315150 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 315150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428544).

315150 is an abundant number, since it is smaller than the sum of its proper divisors (541938).

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

315150 is a wasteful number, since it uses less digits than its factorization.

315150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 15.

The square root of 315150 is about 561.3822227324. The cubic root of 315150 is about 68.0517195919.

Multiplying 315150 by its product of nonzero digits (75), we get a triangular number (23636250 = T₆₈₇₅).

Adding to 315150 its reverse (51513), we get a palindrome (366663).

It can be divided in two parts, 315 and 150, that added together give a triangular number (465 = T₃₀).

The spelling of 315150 in words is "three hundred fifteen thousand, one hundred fifty".