131987730816 has 768 divisors, whose sum is σ = 434191380480. Its totient is φ = 38320128000.

The previous prime is 131987730799. The next prime is 131987730821. The reversal of 131987730816 is 618037789131.

131987730816 is a `hidden beast` number, since 1 + 319 + 8 + 7 + 7 + 308 + 16 = 666.

It is a super-2 number, since 2×131987730816² (a number of 23 digits) contains 22 as substring.

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, 1306809166 + ... + 1306809266.

It is an arithmetic number, because the mean of its divisors is an integer number (565353360).

Almost surely, 2^131987730816 is an apocalyptic number.

131987730816 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 131987730816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217095690240).

131987730816 is an abundant number, since it is smaller than the sum of its proper divisors (302203649664).

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

131987730816 is a wasteful number, since it uses less digits than its factorization.

131987730816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 131987730816 in words is "one hundred thirty-one billion, nine hundred eighty-seven million, seven hundred thirty thousand, eight hundred sixteen".