131603495577840 has 640 divisors, whose sum is σ = 555703692687360. Its totient is φ = 28169308569600.

The previous prime is 131603495577823. The next prime is 131603495577857. The reversal of 131603495577840 is 48775594306131.

131603495577840 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 0 + 3 + 4 + 9 + 557 + 78 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (131603495577823) and next prime (131603495577857).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2158081 + ... + 16366560.

It is an arithmetic number, because the mean of its divisors is an integer number (868287019824).

Almost surely, 2^{131603495577840} is an apocalyptic number.

131603495577840 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 131603495577840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277851846343680).

131603495577840 is an abundant number, since it is smaller than the sum of its proper divisors (424100197109520).

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

131603495577840 is a wasteful number, since it uses less digits than its factorization.

131603495577840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18524710 (or 18524698 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 131603495577840 in words is "one hundred thirty-one trillion, six hundred three billion, four hundred ninety-five million, five hundred seventy-seven thousand, eight hundred forty".