131406370309872 has 480 divisors, whose sum is σ = 455941121650560. Its totient is φ = 34468845649920.

The previous prime is 131406370309867. The next prime is 131406370309937. The reversal of 131406370309872 is 278903073604131.

131406370309872 is a `hidden beast` number, since 1 + 3 + 140 + 63 + 70 + 309 + 8 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6399754518 + ... + 6399775050.

It is an arithmetic number, because the mean of its divisors is an integer number (949877336772).

Almost surely, 2^{131406370309872} is an apocalyptic number.

131406370309872 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 131406370309872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227970560825280).

131406370309872 is an abundant number, since it is smaller than the sum of its proper divisors (324534751340688).

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

131406370309872 is a wasteful number, since it uses less digits than its factorization.

131406370309872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29721 (or 29712 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 131406370309872 in words is "one hundred thirty-one trillion, four hundred six billion, three hundred seventy million, three hundred nine thousand, eight hundred seventy-two".