131786325 has 48 divisors (see below), whose sum is σ = 264120000. Its totient is φ = 63892800.

The previous prime is 131786311. The next prime is 131786339. The reversal of 131786325 is 523687131.

131786325 is a `hidden beast` number, since 1 + 3 + 17 + 8 + 632 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (131786311) and next prime (131786339).

It is not a de Polignac number, because 131786325 - 2⁴ = 131786309 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131786325.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1450 + ... + 16299.

It is an arithmetic number, because the mean of its divisors is an integer number (5502500).

Almost surely, 2^131786325 is an apocalyptic number.

131786325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131786325 is an abundant number, since it is smaller than the sum of its proper divisors (132333675).

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

131786325 is a wasteful number, since it uses less digits than its factorization.

131786325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17779 (or 17768 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 131786325 is about 11479.8225160496. The cubic root of 131786325 is about 508.8894519990.

It can be divided in two parts, 13178 and 6325, that added together give a triangular number (19503 = T₁₉₇).

The spelling of 131786325 in words is "one hundred thirty-one million, seven hundred eighty-six thousand, three hundred twenty-five".