131717743744 has 128 divisors (see below), whose sum is σ = 272051136000. Its totient is φ = 63490891776.

The previous prime is 131717743723. The next prime is 131717743763. The reversal of 131717743744 is 447347717131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×131717743744² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125564532 + ... + 125565580.

It is an arithmetic number, because the mean of its divisors is an integer number (2125399500).

Almost surely, 2^131717743744 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 131717743744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136025568000).

131717743744 is an abundant number, since it is smaller than the sum of its proper divisors (140333392256).

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

131717743744 is a wasteful number, since it uses less digits than its factorization.

131717743744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 1410 counting only the distinct ones).

The product of its digits is 1382976, while the sum is 49.

The spelling of 131717743744 in words is "one hundred thirty-one billion, seven hundred seventeen million, seven hundred forty-three thousand, seven hundred forty-four".