131665692880 has 80 divisors (see below), whose sum is σ = 314781437520. Its totient is φ = 51180097536.

The previous prime is 131665692811. The next prime is 131665692901. The reversal of 131665692880 is 88296566131.

It can be written as a sum of positive squares in 8 ways, for example, as 13805310016 + 117860382864 = 117496^2 + 343308^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 2427012 + ... + 2480668.

It is an arithmetic number, because the mean of its divisors is an integer number (3934767969).

Almost surely, 2^131665692880 is an apocalyptic number.

131665692880 is a gapful number since it is divisible by the number (10) 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 131665692880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157390718760).

131665692880 is an abundant number, since it is smaller than the sum of its proper divisors (183115744640).

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

131665692880 is a wasteful number, since it uses less digits than its factorization.

131665692880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54536 (or 54530 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 55.

The spelling of 131665692880 in words is "one hundred thirty-one billion, six hundred sixty-five million, six hundred ninety-two thousand, eight hundred eighty".