131421404134125 has 192 divisors, whose sum is σ = 282689982432000. Its totient is φ = 60070785062400.

The previous prime is 131421404134019. The next prime is 131421404134169. The reversal of 131421404134125 is 521431404124131.

131421404134125 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 214 + 0 + 413 + 4 + 1 + 25 = 666.

It is not a de Polignac number, because 131421404134125 - 2¹⁶ = 131421404068589 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 131421404134125.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1436897646 + ... + 1436989104.

It is an arithmetic number, because the mean of its divisors is an integer number (1472343658500).

Almost surely, 2^{131421404134125} is an apocalyptic number.

131421404134125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131421404134125 is an abundant number, since it is smaller than the sum of its proper divisors (151268578297875).

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

131421404134125 is an equidigital number, since it uses as much as digits as its factorization.

131421404134125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100186 (or 100163 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 131421404134125 its reverse (521431404124131), we get a palindrome (652852808258256).

The spelling of 131421404134125 in words is "one hundred thirty-one trillion, four hundred twenty-one billion, four hundred four million, one hundred thirty-four thousand, one hundred twenty-five".