131809365 has 48 divisors (see below), whose sum is σ = 248302080. Its totient is φ = 64437120.

The previous prime is 131809361. The next prime is 131809393. The reversal of 131809365 is 563908131.

It is a happy number.

It is not a de Polignac number, because 131809365 - 2² = 131809361 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 (131809361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24019 + ... + 28991.

It is an arithmetic number, because the mean of its divisors is an integer number (5172960).

Almost surely, 2^131809365 is an apocalyptic number.

131809365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131809365 is a deficient number, since it is larger than the sum of its proper divisors (116492715).

131809365 is a wasteful number, since it uses less digits than its factorization.

131809365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5034 (or 5031 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 131809365 is about 11480.8259720283. The cubic root of 131809365 is about 508.9191063904.

The spelling of 131809365 in words is "one hundred thirty-one million, eight hundred nine thousand, three hundred sixty-five".