131643776759040 has 2592 divisors, whose sum is σ = 610843040510976. Its totient is φ = 26878155816960.

The previous prime is 131643776759039. The next prime is 131643776759057. The reversal of 131643776759040 is 40957677346131.

131643776759040 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 4 + 37 + 7 + 6 + 7 + 590 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6142096164 + ... + 6142117596.

Almost surely, 2^{131643776759040} is an apocalyptic number.

131643776759040 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 131643776759040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305421520255488).

131643776759040 is an abundant number, since it is smaller than the sum of its proper divisors (479199263751936).

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

131643776759040 is a wasteful number, since it uses less digits than its factorization.

131643776759040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21527 (or 21494 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 63.

The spelling of 131643776759040 in words is "one hundred thirty-one trillion, six hundred forty-three billion, seven hundred seventy-six million, seven hundred fifty-nine thousand, forty".