131224302144 has 336 divisors, whose sum is σ = 420182009520. Its totient is φ = 38877511680.

The previous prime is 131224302103. The next prime is 131224302169. The reversal of 131224302144 is 441203422131.

131224302144 is a `hidden beast` number, since 1 + 3 + 12 + 2 + 430 + 214 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 32573030400 + 98651271744 = 180480^2 + 314088^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117478674 + ... + 117479790.

It is an arithmetic number, because the mean of its divisors is an integer number (1250541695).

Almost surely, 2^131224302144 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 131224302144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210091004760).

131224302144 is an abundant number, since it is smaller than the sum of its proper divisors (288957707376).

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

131224302144 is a wasteful number, since it uses less digits than its factorization.

131224302144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1718 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 131224302144 its reverse (441203422131), we get a palindrome (572427724275).

The spelling of 131224302144 in words is "one hundred thirty-one billion, two hundred twenty-four million, three hundred two thousand, one hundred forty-four".