131783254637760 has 1344 divisors, whose sum is σ = 517155964416000. Its totient is φ = 31677333811200.

The previous prime is 131783254637729. The next prime is 131783254637777. The reversal of 131783254637760 is 67736452387131.

131783254637760 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 8 + 3 + 254 + 6 + 377 + 6 + 0 = 666.

131783254637760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 56341706671 + ... + 56341709009.

It is an arithmetic number, because the mean of its divisors is an integer number (384788664000).

Almost surely, 2^{131783254637760} is an apocalyptic number.

131783254637760 is a gapful number since it is divisible by the number (10) 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 131783254637760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258577982208000).

131783254637760 is an abundant number, since it is smaller than the sum of its proper divisors (385372709778240).

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

131783254637760 is a wasteful number, since it uses less digits than its factorization.

131783254637760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2912 (or 2890 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 131783254637760 in words is "one hundred thirty-one trillion, seven hundred eighty-three billion, two hundred fifty-four million, six hundred thirty-seven thousand, seven hundred sixty".