131687926856640 has 1344 divisors, whose sum is σ = 603921624768000. Its totient is φ = 26696278425600.

The previous prime is 131687926856621. The next prime is 131687926856663. The reversal of 131687926856640 is 46658629786131.

131687926856640 is a `hidden beast` number, since 1 + 3 + 16 + 8 + 7 + 9 + 2 + 6 + 8 + 566 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×131687926856640² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 190590511 + ... + 191280209.

It is an arithmetic number, because the mean of its divisors is an integer number (449346447000).

It is a 1-persistent number, because it is pandigital, but 2⋅131687926856640 = 263375853713280 is not.

Almost surely, 2^{131687926856640} is an apocalyptic number.

131687926856640 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 131687926856640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301960812384000).

131687926856640 is an abundant number, since it is smaller than the sum of its proper divisors (472233697911360).

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

131687926856640 is a wasteful number, since it uses less digits than its factorization.

131687926856640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689791 (or 689768 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 131687926856640 in words is "one hundred thirty-one trillion, six hundred eighty-seven billion, nine hundred twenty-six million, eight hundred fifty-six thousand, six hundred forty".