125316 has 27 divisors (see below), whose sum is σ = 322231. Its totient is φ = 41064.

The previous prime is 125311. The next prime is 125329. The reversal of 125316 is 613521.

125316 = T₃₅₃ + T₃₅₄.

The square root of 125316 is 354.

It is a perfect power (a square), and thus also a powerful number.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125311) by changing a digit.

125316 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 8 ways as a sum of consecutive naturals, for example, 2095 + ... + 2153.

125316 is a Friedman number, since it can be written as (356-1-1)^2, using all its digits and the basic arithmetic operations.

2¹²⁵³¹⁶ is an apocalyptic number.

125316 is the 354-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125316

125316 is an abundant number, since it is smaller than the sum of its proper divisors (196915).

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

125316 is a wasteful number, since it uses less digits than its factorization.

125316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 64 counting only the distinct ones).

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

The cubic root of 125316 is about 50.0420978788.

Adding to 125316 its reverse (613521), we get a palindrome (738837).

It can be divided in two parts, 125 and 316, that added together give a square (441 = 21²).

The spelling of 125316 in words is "one hundred twenty-five thousand, three hundred sixteen".