131566301440 has 432 divisors, whose sum is σ = 381713762304. Its totient is φ = 43274649600.

The previous prime is 131566301389. The next prime is 131566301443. The reversal of 131566301440 is 44103665131.

It is a junction number, because it is equal to n+sod(n) for n = 131566301396 and 131566301405.

It is not an unprimeable number, because it can be changed into a prime (131566301443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305258025 + ... + 305258455.

It is an arithmetic number, because the mean of its divisors is an integer number (883596672).

Almost surely, 2^131566301440 is an apocalyptic number.

131566301440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131566301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190856881152).

131566301440 is an abundant number, since it is smaller than the sum of its proper divisors (250147460864).

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

131566301440 is a wasteful number, since it uses less digits than its factorization.

131566301440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

Adding to 131566301440 its reverse (44103665131), we get a palindrome (175669966571).

The spelling of 131566301440 in words is "one hundred thirty-one billion, five hundred sixty-six million, three hundred one thousand, four hundred forty".