131484629532672 has 204 divisors, whose sum is σ = 409060194829104. Its totient is φ = 40456806727680.

The previous prime is 131484629532649. The next prime is 131484629532689. The reversal of 131484629532672 is 276235926484131.

131484629532672 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 8 + 4 + 6 + 29 + 532 + 6 + 72 = 666.

131484629532672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131484629532672² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 906204 + ... + 16241627.

It is an arithmetic number, because the mean of its divisors is an integer number (2005197033476).

Almost surely, 2^{131484629532672} is an apocalyptic number.

131484629532672 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 131484629532672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204530097414552).

131484629532672 is an abundant number, since it is smaller than the sum of its proper divisors (277575565296432).

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

131484629532672 is an equidigital number, since it uses as much as digits as its factorization.

131484629532672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17147882 (or 17147849 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 131484629532672 in words is "one hundred thirty-one trillion, four hundred eighty-four billion, six hundred twenty-nine million, five hundred thirty-two thousand, six hundred seventy-two".