131266125 has 24 divisors (see below), whose sum is σ = 236631096. Its totient is φ = 70008000.

The previous prime is 131266099. The next prime is 131266127. The reversal of 131266125 is 521662131.

It can be written as a sum of positive squares in 4 ways, for example, as 1920996 + 129345129 = 1386^2 + 11373^2 .

It is not a de Polignac number, because 131266125 - 2⁹ = 131265613 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131266127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57216 + ... + 59465.

It is an arithmetic number, because the mean of its divisors is an integer number (9859629).

Almost surely, 2^131266125 is an apocalyptic number.

131266125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131266125 is a deficient number, since it is larger than the sum of its proper divisors (105364971).

131266125 is a wasteful number, since it uses less digits than its factorization.

131266125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116702 (or 116689 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 131266125 is about 11457.1429684717. The cubic root of 131266125 is about 508.2189894806.

It can be divided in two parts, 131 and 266125, that added together give a square (266256 = 516²).

The spelling of 131266125 in words is "one hundred thirty-one million, two hundred sixty-six thousand, one hundred twenty-five".