131125 has 8 divisors (see below), whose sum is σ = 163800. Its totient is φ = 104800.

The previous prime is 131113. The next prime is 131129. The reversal of 131125 is 521131.

It can be written as a sum of positive squares in 4 ways, for example, as 81 + 131044 = 9^2 + 362^2 .

It is not a de Polignac number, because 131125 - 2¹⁷ = 53 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 400 + ... + 649.

It is an arithmetic number, because the mean of its divisors is an integer number (20475).

2¹³¹¹²⁵ is an apocalyptic number.

It is an amenable number.

131125 is a deficient number, since it is larger than the sum of its proper divisors (32675).

131125 is an equidigital number, since it uses as much as digits as its factorization.

131125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1054 counting only the distinct ones).

The product of its digits is 30, while the sum is 13.

The square root of 131125 is about 362.1118611700. Note that the first 3 decimals coincide. The cubic root of 131125 is about 50.8036794409.

Adding to 131125 its reverse (521131), we get a palindrome (652256).

It can be divided in two parts, 131 and 125, that added together give a 8-th power (256 = 2⁸).

The spelling of 131125 in words is "one hundred thirty-one thousand, one hundred twenty-five".