131360557094208 has 672 divisors, whose sum is σ = 436213413941760. Its totient is φ = 38933469020160.

The previous prime is 131360557094177. The next prime is 131360557094237. The reversal of 131360557094208 is 802490755063131.

It is a happy number.

131360557094208 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 60 + 5 + 570 + 9 + 4 + 2 + 0 + 8 = 666.

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

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, 654747766 + ... + 654948362.

It is an arithmetic number, because the mean of its divisors is an integer number (649127104080).

It is a 1-persistent number, because it is pandigital, but 2⋅131360557094208 = 262721114188416 is not.

Almost surely, 2^{131360557094208} is an apocalyptic number.

131360557094208 is a gapful number since it is divisible by the number (18) 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 131360557094208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218106706970880).

131360557094208 is an abundant number, since it is smaller than the sum of its proper divisors (304852856847552).

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

131360557094208 is a wasteful number, since it uses less digits than its factorization.

131360557094208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200757 (or 200735 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 131360557094208 in words is "one hundred thirty-one trillion, three hundred sixty billion, five hundred fifty-seven million, ninety-four thousand, two hundred eight".