131763711744 has 288 divisors, whose sum is σ = 445919040000. Its totient is φ = 37595529216.

The previous prime is 131763711697. The next prime is 131763711767. The reversal of 131763711744 is 447117367131.

131763711744 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 637 + 1 + 1 + 7 + 4 + 4 = 666.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 131763711744.

It is a congruent number.

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, 48818107 + ... + 48820805.

It is an arithmetic number, because the mean of its divisors is an integer number (1548330000).

Almost surely, 2^131763711744 is an apocalyptic number.

131763711744 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 131763711744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222959520000).

131763711744 is an abundant number, since it is smaller than the sum of its proper divisors (314155328256).

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

131763711744 is a wasteful number, since it uses less digits than its factorization.

131763711744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3740 (or 3720 counting only the distinct ones).

The product of its digits is 296352, while the sum is 45.

The spelling of 131763711744 in words is "one hundred thirty-one billion, seven hundred sixty-three million, seven hundred eleven thousand, seven hundred forty-four".