131613824 has 32 divisors (see below), whose sum is σ = 263568000. Its totient is φ = 65463552.

The previous prime is 131613809. The next prime is 131613827. The reversal of 131613824 is 428316131.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (131613827) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22889 + ... + 28055.

It is an arithmetic number, because the mean of its divisors is an integer number (8236500).

Almost surely, 2^131613824 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 131613824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131784000).

131613824 is an abundant number, since it is smaller than the sum of its proper divisors (131954176).

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

131613824 is an equidigital number, since it uses as much as digits as its factorization.

131613824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5380 (or 5368 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

The square root of 131613824 is about 11472.3068299274. The cubic root of 131613824 is about 508.6673190155.

Adding to 131613824 its reverse (428316131), we get a palindrome (559929955).

The spelling of 131613824 in words is "one hundred thirty-one million, six hundred thirteen thousand, eight hundred twenty-four".