131391191439360 has 576 divisors, whose sum is σ = 500023348624800. Its totient is φ = 32976602136576.

The previous prime is 131391191439293. The next prime is 131391191439373. The reversal of 131391191439360 is 63934191193131.

131391191439360 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 9 + 1 + 191 + 4 + 393 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 131391191439297 and 131391191439306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40748406 + ... + 43854474.

Almost surely, 2^{131391191439360} is an apocalyptic number.

131391191439360 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 131391191439360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250011674312400).

131391191439360 is an abundant number, since it is smaller than the sum of its proper divisors (368632157185440).

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

131391191439360 is an equidigital number, since it uses as much as digits as its factorization.

131391191439360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3106128 (or 3106096 counting only the distinct ones).

The product of its (nonzero) digits is 1417176, while the sum is 54.

The spelling of 131391191439360 in words is "one hundred thirty-one trillion, three hundred ninety-one billion, one hundred ninety-one million, four hundred thirty-nine thousand, three hundred sixty".