131341824 has 100 divisors (see below), whose sum is σ = 392144544. Its totient is φ = 43766784.

The previous prime is 131341817. The next prime is 131341843. The reversal of 131341824 is 428143131.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 39889 + ... + 43055.

Almost surely, 2^131341824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131341824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196072272).

131341824 is an abundant number, since it is smaller than the sum of its proper divisors (260802720).

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

131341824 is an frugal number, since it uses more digits than its factorization.

131341824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3197 (or 3172 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 131341824 is about 11460.4460646172. The cubic root of 131341824 is about 508.3166645315.

Adding to 131341824 its reverse (428143131), we get a palindrome (559484955).

The spelling of 131341824 in words is "one hundred thirty-one million, three hundred forty-one thousand, eight hundred twenty-four".