131414472 has 108 divisors (see below), whose sum is σ = 416178945. Its totient is φ = 37352448.

The previous prime is 131414467. The next prime is 131414473. The reversal of 131414472 is 274414131.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 122014116 + 9400356 = 11046^2 + 3066^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=8106.

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

It is not an unprimeable number, because it can be changed into a prime (131414473) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 680808 + ... + 681000.

Almost surely, 2^131414472 is an apocalyptic number.

131414472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131414472

131414472 is an abundant number, since it is smaller than the sum of its proper divisors (284764473).

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

131414472 is a wasteful number, since it uses less digits than its factorization.

131414472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 205 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 131414472 is about 11463.6151365963. The cubic root of 131414472 is about 508.4103675664.

The spelling of 131414472 in words is "one hundred thirty-one million, four hundred fourteen thousand, four hundred seventy-two".