131296489138944 has 288 divisors, whose sum is σ = 402289457250240. Its totient is φ = 42205798268928.

The previous prime is 131296489138939. The next prime is 131296489138987. The reversal of 131296489138944 is 449831984692131.

131296489138944 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 9 + 6 + 489 + 138 + 9 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26627434 + ... + 31170710.

It is an arithmetic number, because the mean of its divisors is an integer number (1396838393230).

Almost surely, 2^{131296489138944} 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 131296489138944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201144728625120).

131296489138944 is an abundant number, since it is smaller than the sum of its proper divisors (270992968111296).

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

131296489138944 is a wasteful number, since it uses less digits than its factorization.

131296489138944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4543452 (or 4543432 counting only the distinct ones).

The product of its digits is 322486272, while the sum is 72.

The spelling of 131296489138944 in words is "one hundred thirty-one trillion, two hundred ninety-six billion, four hundred eighty-nine million, one hundred thirty-eight thousand, nine hundred forty-four".