131736761856 has 560 divisors, whose sum is σ = 460557628080. Its totient is φ = 37639074816.

The previous prime is 131736761773. The next prime is 131736761861. The reversal of 131736761856 is 658167637131.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

131736761856 is a `hidden beast` number, since 1 + 3 + 17 + 3 + 6 + 7 + 618 + 5 + 6 = 666.

It is an ABA number since it can be written as A⋅B^A, here for A=3, B=3528.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (3810240) is a multiple of the sum of its prime divisors (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 18819537405 + ... + 18819537411.

Almost surely, 2^131736761856 is an apocalyptic number.

131736761856 is a gapful number since it is divisible by the number (16) 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 131736761856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230278814040).

131736761856 is an abundant number, since it is smaller than the sum of its proper divisors (328820866224).

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

131736761856 is an frugal number, since it uses more digits than its factorization.

131736761856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 12 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

Multiplying 131736761856 by its sum of digits (54), we get a square (7113785140224 = 2667168²).

131736761856 divided by its sum of digits (54) gives a square (2439569664 = 49392²).

The spelling of 131736761856 in words is "one hundred thirty-one billion, seven hundred thirty-six million, seven hundred sixty-one thousand, eight hundred fifty-six".