131284125 has 64 divisors (see below), whose sum is σ = 277455360. Its totient is φ = 60004800.

The previous prime is 131284121. The next prime is 131284141. The reversal of 131284125 is 521482131.

It is not a de Polignac number, because 131284125 - 2² = 131284121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131284121) 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 63 ways as a sum of consecutive naturals, for example, 20847 + ... + 26403.

It is an arithmetic number, because the mean of its divisors is an integer number (4335240).

Almost surely, 2^131284125 is an apocalyptic number.

131284125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131284125 is an abundant number, since it is smaller than the sum of its proper divisors (146171235).

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

131284125 is an equidigital number, since it uses as much as digits as its factorization.

131284125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5588 (or 5572 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 131284125 is about 11457.9284776961. The cubic root of 131284125 is about 508.2422184330.

The spelling of 131284125 in words is "one hundred thirty-one million, two hundred eighty-four thousand, one hundred twenty-five".