131107719744 has 315 divisors, whose sum is σ = 400835117683. Its totient is φ = 42372986112.

The previous prime is 131107719709. The next prime is 131107719767. The reversal of 131107719744 is 447917701131.

The square root of 131107719744 is 362088.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131107719744.

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 44 ways as a sum of consecutive naturals, for example, 1225305739 + ... + 1225305845.

Almost surely, 2^131107719744 is an apocalyptic number.

131107719744 is the 362088-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131107719744

131107719744 is an abundant number, since it is smaller than the sum of its proper divisors (269727397939).

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

131107719744 is an frugal number, since it uses more digits than its factorization.

131107719744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The spelling of 131107719744 in words is "one hundred thirty-one billion, one hundred seven million, seven hundred nineteen thousand, seven hundred forty-four".