131665960296 has 512 divisors, whose sum is σ = 441987840000. Its totient is φ = 35876597760.

The previous prime is 131665960291. The next prime is 131665960303. The reversal of 131665960296 is 692069566131.

131665960296 is a `hidden beast` number, since 13 + 16 + 6 + 5 + 9 + 602 + 9 + 6 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (131665960291) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 162349731 + ... + 162350541.

It is an arithmetic number, because the mean of its divisors is an integer number (863257500).

Almost surely, 2^131665960296 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 131665960296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220993920000).

131665960296 is an abundant number, since it is smaller than the sum of its proper divisors (310321879704).

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

131665960296 is a wasteful number, since it uses less digits than its factorization.

131665960296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 131665960296 in words is "one hundred thirty-one billion, six hundred sixty-five million, nine hundred sixty thousand, two hundred ninety-six".