131224464 has 60 divisors (see below), whose sum is σ = 419713216. Its totient is φ = 37492416.

The previous prime is 131224463. The next prime is 131224523. The reversal of 131224464 is 464422131.

It is a happy number.

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 (131224463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64084 + ... + 66099.

Almost surely, 2^131224464 is an apocalyptic number.

131224464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131224464 is an abundant number, since it is smaller than the sum of its proper divisors (288488752).

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

131224464 is a wasteful number, since it uses less digits than its factorization.

131224464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130204 (or 130195 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 131224464 is about 11455.3247007669. The cubic root of 131224464 is about 508.1652179239.

Adding to 131224464 its reverse (464422131), we get a palindrome (595646595).

The spelling of 131224464 in words is "one hundred thirty-one million, two hundred twenty-four thousand, four hundred sixty-four".