131431145772 has 24 divisors (see below), whose sum is σ = 306685939392. Its totient is φ = 43808486800.

The previous prime is 131431145761. The next prime is 131431145777. The reversal of 131431145772 is 277541134131.

It is a self number, because there is not a number n which added to its sum of digits gives 131431145772.

It is not an unprimeable number, because it can be changed into a prime (131431145777) 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 7 ways as a sum of consecutive naturals, for example, 67747 + ... + 517157.

It is an arithmetic number, because the mean of its divisors is an integer number (12778580808).

Almost surely, 2^131431145772 is an apocalyptic number.

131431145772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131431145772 is an abundant number, since it is smaller than the sum of its proper divisors (175254793620).

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

131431145772 is a wasteful number, since it uses less digits than its factorization.

131431145772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473789 (or 473787 counting only the distinct ones).

The product of its digits is 70560, while the sum is 39.

The spelling of 131431145772 in words is "one hundred thirty-one billion, four hundred thirty-one million, one hundred forty-five thousand, seven hundred seventy-two".