131623024 has 80 divisors (see below), whose sum is σ = 287481600. Its totient is φ = 57968640.

The previous prime is 131623007. The next prime is 131623031. The reversal of 131623024 is 420326131.

It is a junction number, because it is equal to n+sod(n) for n = 131622986 and 131623004.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 883302 + ... + 883450.

It is an arithmetic number, because the mean of its divisors is an integer number (3593520).

Almost surely, 2^131623024 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 131623024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143740800).

131623024 is an abundant number, since it is smaller than the sum of its proper divisors (155858576).

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

131623024 is a wasteful number, since it uses less digits than its factorization.

131623024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 131623024 is about 11472.7077884866. The cubic root of 131623024 is about 508.6791709375.

Adding to 131623024 its reverse (420326131), we get a palindrome (551949155).

The spelling of 131623024 in words is "one hundred thirty-one million, six hundred twenty-three thousand, twenty-four".