131461209 has 48 divisors (see below), whose sum is σ = 222842880. Its totient is φ = 73824480.

The previous prime is 131461207. The next prime is 131461217. The reversal of 131461209 is 902164131.

It is not a de Polignac number, because 131461209 - 2¹ = 131461207 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131461207) 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, 87664 + ... + 89150.

It is an arithmetic number, because the mean of its divisors is an integer number (4642560).

Almost surely, 2^131461209 is an apocalyptic number.

131461209 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

131461209 is a deficient number, since it is larger than the sum of its proper divisors (91381671).

131461209 is a wasteful number, since it uses less digits than its factorization.

131461209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 131461209 is about 11465.6534484520. The cubic root of 131461209 is about 508.4706317535.

The spelling of 131461209 in words is "one hundred thirty-one million, four hundred sixty-one thousand, two hundred nine".