131567720739840 has 5280 divisors, whose sum is σ = 622980820611072. Its totient is φ = 25961339289600.

The previous prime is 131567720739821. The next prime is 131567720739913. The reversal of 131567720739840 is 48937027765131.

131567720739840 is a `hidden beast` number, since 1 + 3 + 1 + 567 + 7 + 20 + 7 + 3 + 9 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (5280).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 688836234145 + ... + 688836234335.

It is a 2-persistent number, because it is pandigital, and so is 2⋅131567720739840 = 263135441479680, but 3⋅131567720739840 = 394703162219520 is not.

Almost surely, 2^{131567720739840} is an apocalyptic number.

131567720739840 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 131567720739840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311490410305536).

131567720739840 is an abundant number, since it is smaller than the sum of its proper divisors (491413099871232).

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

131567720739840 is a wasteful number, since it uses less digits than its factorization.

131567720739840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 131567720739840 in words is "one hundred thirty-one trillion, five hundred sixty-seven billion, seven hundred twenty million, seven hundred thirty-nine thousand, eight hundred forty".