131345060104278 has 128 divisors (see below), whose sum is σ = 313838190489600. Its totient is φ = 40570883698176.

The previous prime is 131345060104277. The next prime is 131345060104309. The reversal of 131345060104278 is 872401060543131.

131345060104278 is a `hidden beast` number, since 1 + 3 + 1 + 34 + 5 + 0 + 601 + 0 + 4 + 2 + 7 + 8 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131345060104277) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19383163 + ... + 25266521.

It is an arithmetic number, because the mean of its divisors is an integer number (2451860863200).

Almost surely, 2^{131345060104278} is an apocalyptic number.

131345060104278 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131345060104278, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156919095244800).

131345060104278 is an abundant number, since it is smaller than the sum of its proper divisors (182493130385322).

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

131345060104278 is a wasteful number, since it uses less digits than its factorization.

131345060104278 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5883763 (or 5883757 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 131345060104278 in words is "one hundred thirty-one trillion, three hundred forty-five billion, sixty million, one hundred four thousand, two hundred seventy-eight".