131412 has 24 divisors (see below), whose sum is σ = 314496. Its totient is φ = 42688.

The previous prime is 131381. The next prime is 131413. The reversal of 131412 is 214131.

It is a happy number.

It is a super-2 number, since 2×131412² = 34538227488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 1 + 3⁴ + 4⁴ + 1 + 1 + 2¹⁷ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131413) by changing a digit.

131412 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 448 + ... + 680.

It is an arithmetic number, because the mean of its divisors is an integer number (13104).

2¹³¹⁴¹² is an apocalyptic number.

131412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131412 is an abundant number, since it is smaller than the sum of its proper divisors (183084).

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

131412 is a wasteful number, since it uses less digits than its factorization.

131412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 285 counting only the distinct ones).

The product of its digits is 24, while the sum is 12.

The square root of 131412 is about 362.5079309477. The cubic root of 131412 is about 50.8407179692.

Adding to 131412 its reverse (214131), we get a palindrome (345543).

It can be divided in two parts, 1314 and 12, that added together give a triangular number (1326 = T₅₁).

The spelling of 131412 in words is "one hundred thirty-one thousand, four hundred twelve".