131424320 has 28 divisors (see below), whose sum is σ = 312954924. Its totient is φ = 52569600.

The previous prime is 131424301. The next prime is 131424341. The reversal of 131424320 is 23424131.

It can be written as a sum of positive squares in 2 ways, for example, as 47665216 + 83759104 = 6904^2 + 9152^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 131424292 and 131424301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 205031 + ... + 205670.

Almost surely, 2^131424320 is an apocalyptic number.

131424320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131424320 is an abundant number, since it is smaller than the sum of its proper divisors (181530604).

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

131424320 is an equidigital number, since it uses as much as digits as its factorization.

131424320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410718 (or 410708 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 131424320 is about 11464.0446614622. The cubic root of 131424320 is about 508.4230670815.

Adding to 131424320 its reverse (23424131), we get a palindrome (154848451).

The spelling of 131424320 in words is "one hundred thirty-one million, four hundred twenty-four thousand, three hundred twenty".