131829816161256 has 32 divisors (see below), whose sum is σ = 329592617213760. Its totient is φ = 43940861812352.

The previous prime is 131829816161243. The next prime is 131829816161257. The reversal of 131829816161256 is 652161618928131.

It is a super-2 number, since 2×131829816161256² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131829816161256.

It is not an unprimeable number, because it can be changed into a prime (131829816161257) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150193380 + ... + 151068563.

It is an arithmetic number, because the mean of its divisors is an integer number (10299769287930).

Almost surely, 2^{131829816161256} is an apocalyptic number.

It is an amenable number.

131829816161256 is an abundant number, since it is smaller than the sum of its proper divisors (197762801052504).

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

131829816161256 is a wasteful number, since it uses less digits than its factorization.

131829816161256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301280185 (or 301280181 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 60.

The spelling of 131829816161256 in words is "one hundred thirty-one trillion, eight hundred twenty-nine billion, eight hundred sixteen million, one hundred sixty-one thousand, two hundred fifty-six".