131665774670472 has 384 divisors, whose sum is σ = 401055106636800. Its totient is φ = 35868454820352.

The previous prime is 131665774670453. The next prime is 131665774670477. The reversal of 131665774670472 is 274076477566131.

It is a happy number.

It is a super-2 number, since 2×131665774670472² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131665774670477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7537964283 + ... + 7537981749.

It is an arithmetic number, because the mean of its divisors is an integer number (1044414340200).

Almost surely, 2^{131665774670472} is an apocalyptic number.

131665774670472 is a gapful number since it is divisible by the number (12) 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 131665774670472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200527553318400).

131665774670472 is an abundant number, since it is smaller than the sum of its proper divisors (269389331966328).

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

131665774670472 is a wasteful number, since it uses less digits than its factorization.

131665774670472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20265 (or 20254 counting only the distinct ones).

The product of its (nonzero) digits is 248935680, while the sum is 66.

The spelling of 131665774670472 in words is "one hundred thirty-one trillion, six hundred sixty-five billion, seven hundred seventy-four million, six hundred seventy thousand, four hundred seventy-two".