131549246738064 has 315 divisors, whose sum is σ = 406006296845817. Its totient is φ = 41263745490432.

The previous prime is 131549246738051. The next prime is 131549246738069. The reversal of 131549246738064 is 460837642945131.

The square root of 131549246738064 is 11469492.

It is a perfect power (a square), and thus also a powerful number.

131549246738064 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 4 + 9 + 246 + 7 + 380 + 6 + 4 = 666.

131549246738064 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 102417233619600 + 29132013118464 = 10120140^2 + 5397408^2 .

It is a junction number, because it is equal to n+sod(n) for n = 131549246737992 and 131549246738010.

It is not an unprimeable number, because it can be changed into a prime (131549246738069) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 21057984189 + ... + 21057990435.

It is a 1-persistent number, because it is pandigital, but 2⋅131549246738064 = 263098493476128 is not.

Almost surely, 2^{131549246738064} is an apocalyptic number.

131549246738064 is the 11469492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131549246738064

131549246738064 is an abundant number, since it is smaller than the sum of its proper divisors (274457050107753).

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

131549246738064 is an frugal number, since it uses more digits than its factorization.

131549246738064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12554 (or 6269 counting only the distinct ones).

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

The spelling of 131549246738064 in words is "one hundred thirty-one trillion, five hundred forty-nine billion, two hundred forty-six million, seven hundred thirty-eight thousand, sixty-four".