131566523760 has 960 divisors, whose sum is σ = 548728307712. Its totient is φ = 27571912704.

The previous prime is 131566523717. The next prime is 131566523831. The reversal of 131566523760 is 67325665131.

131566523760 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 66 + 523 + 7 + 60 = 666.

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

It is a congruent number.

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, 1035956817 + ... + 1035956943.

Almost surely, 2^131566523760 is an apocalyptic number.

131566523760 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 131566523760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274364153856).

131566523760 is an abundant number, since it is smaller than the sum of its proper divisors (417161783952).

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

131566523760 is a wasteful number, since it uses less digits than its factorization.

131566523760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 131566523760 in words is "one hundred thirty-one billion, five hundred sixty-six million, five hundred twenty-three thousand, seven hundred sixty".