131801262068736 has 1408 divisors, whose sum is σ = 458362306321920. Its totient is φ = 37035756748800.

The previous prime is 131801262068731. The next prime is 131801262068747. The reversal of 131801262068736 is 637860262108131.

131801262068736 is a `hidden beast` number, since 1 + 3 + 1 + 8 + 0 + 1 + 2 + 620 + 6 + 8 + 7 + 3 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131801262068731) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 129090363906 + ... + 129090364926.

It is an arithmetic number, because the mean of its divisors is an integer number (325541410740).

Almost surely, 2^{131801262068736} is an apocalyptic number.

131801262068736 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 131801262068736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229181153160960).

131801262068736 is an abundant number, since it is smaller than the sum of its proper divisors (326561044253184).

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

131801262068736 is a wasteful number, since it uses less digits than its factorization.

131801262068736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 131801262068736 in words is "one hundred thirty-one trillion, eight hundred one billion, two hundred sixty-two million, sixty-eight thousand, seven hundred thirty-six".