131322624 has 72 divisors (see below), whose sum is σ = 353178672. Its totient is φ = 43315200.

The previous prime is 131322599. The next prime is 131322641. The reversal of 131322624 is 426223131.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 131322594 and 131322603.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 76722 + ... + 78414.

Almost surely, 2^131322624 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 131322624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176589336).

131322624 is an abundant number, since it is smaller than the sum of its proper divisors (221856048).

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

131322624 is a wasteful number, since it uses less digits than its factorization.

131322624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1799 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 131322624 is about 11459.6083702716. The cubic root of 131322624 is about 508.2918941645.

Adding to 131322624 its reverse (426223131), we get a palindrome (557545755).

The spelling of 131322624 in words is "one hundred thirty-one million, three hundred twenty-two thousand, six hundred twenty-four".