131346332117640 has 256 divisors, whose sum is σ = 453123393408000. Its totient is φ = 33819119861760.

The previous prime is 131346332117527. The next prime is 131346332117647. The reversal of 131346332117640 is 46711233643131.

131346332117640 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 4 + 633 + 2 + 1 + 1 + 7 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (131346332117647) 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 63 ways as a sum of consecutive naturals, for example, 10994880 + ... + 19585199.

It is an arithmetic number, because the mean of its divisors is an integer number (1770013255500).

Almost surely, 2^{131346332117640} is an apocalyptic number.

131346332117640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131346332117640 is an abundant number, since it is smaller than the sum of its proper divisors (321777061290360).

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

131346332117640 is a wasteful number, since it uses less digits than its factorization.

131346332117640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30580237 (or 30580227 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 131346332117640 in words is "one hundred thirty-one trillion, three hundred forty-six billion, three hundred thirty-two million, one hundred seventeen thousand, six hundred forty".