131092 has 12 divisors (see below), whose sum is σ = 247156. Its totient is φ = 60480.

The previous prime is 131071. The next prime is 131101. The reversal of 131092 is 290131.

It can be written as a sum of positive squares in 2 ways, for example, as 5776 + 125316 = 76^2 + 354^2 .

It is a super-2 number, since 2×131092² = 34370224928, which contains 22 as substring.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 1 + 3² + 0 + 1 + 9 + 2¹⁷ .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1209 + ... + 1312.

2¹³¹⁰⁹² is an apocalyptic number.

It is an amenable number.

131092 is a deficient number, since it is larger than the sum of its proper divisors (116064).

131092 is a wasteful number, since it uses less digits than its factorization.

131092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2538 (or 2536 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 131092 is about 362.0662922726. The cubic root of 131092 is about 50.7994171921.

It can be divided in two parts, 13 and 1092, that multiplied together give a triangular number (14196 = T₁₆₈).

The spelling of 131092 in words is "one hundred thirty-one thousand, ninety-two".