131716051738544 has 320 divisors, whose sum is σ = 319041700024320. Its totient is φ = 51292846080000.

The previous prime is 131716051738541. The next prime is 131716051738549. The reversal of 131716051738544 is 445837150617131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 131716051738544.

It is not an unprimeable number, because it can be changed into a prime (131716051738541) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42230217017 + ... + 42230220135.

It is an arithmetic number, because the mean of its divisors is an integer number (997005312576).

Almost surely, 2^{131716051738544} is an apocalyptic number.

131716051738544 is a gapful number since it is divisible by the number (14) 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 131716051738544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159520850012160).

131716051738544 is an abundant number, since it is smaller than the sum of its proper divisors (187325648285776).

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

131716051738544 is a wasteful number, since it uses less digits than its factorization.

131716051738544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4820 (or 4814 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 56.

The spelling of 131716051738544 in words is "one hundred thirty-one trillion, seven hundred sixteen billion, fifty-one million, seven hundred thirty-eight thousand, five hundred forty-four".