131477756161080 has 256 divisors, whose sum is σ = 466978173788160. Its totient is φ = 28979138764800.

The previous prime is 131477756161019. The next prime is 131477756161217. The reversal of 131477756161080 is 80161657774131.

It is a self number, because there is not a number n which added to its sum of digits gives 131477756161080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1666869 + ... + 16301348.

It is an arithmetic number, because the mean of its divisors is an integer number (1824133491360).

Almost surely, 2^{131477756161080} is an apocalyptic number.

131477756161080 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 131477756161080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233489086894080).

131477756161080 is an abundant number, since it is smaller than the sum of its proper divisors (335500417627080).

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

131477756161080 is a wasteful number, since it uses less digits than its factorization.

131477756161080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17968550 (or 17968546 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 57.

The spelling of 131477756161080 in words is "one hundred thirty-one trillion, four hundred seventy-seven billion, seven hundred fifty-six million, one hundred sixty-one thousand, eighty".