315126 has 48 divisors (see below), whose sum is σ = 812448. Its totient is φ = 86400.

The previous prime is 315109. The next prime is 315127. The reversal of 315126 is 621513.

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

It is a junction number, because it is equal to n+sod(n) for n = 315099 and 315108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315127) by changing a digit.

315126 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, 5136 + ... + 5196.

It is an arithmetic number, because the mean of its divisors is an integer number (16926).

2³¹⁵¹²⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406224).

315126 is an abundant number, since it is smaller than the sum of its proper divisors (497322).

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

315126 is a wasteful number, since it uses less digits than its factorization.

315126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 114 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 315126 is about 561.3608465150. The cubic root of 315126 is about 68.0499920730.

Adding to 315126 its reverse (621513), we get a palindrome (936639).

It can be divided in two parts, 315 and 126, that added together give a square (441 = 21²).

The spelling of 315126 in words is "three hundred fifteen thousand, one hundred twenty-six".