131133835486080 has 1536 divisors, whose sum is σ = 541752427008000. Its totient is φ = 28602961035264.

The previous prime is 131133835486057. The next prime is 131133835486229. The reversal of 131133835486080 is 80684538331131.

131133835486080 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 3 + 3 + 83 + 5 + 486 + 0 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 44801445577 + ... + 44801448503.

It is an arithmetic number, because the mean of its divisors is an integer number (352703403000).

Almost surely, 2^{131133835486080} is an apocalyptic number.

131133835486080 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 131133835486080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270876213504000).

131133835486080 is an abundant number, since it is smaller than the sum of its proper divisors (410618591521920).

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

131133835486080 is a wasteful number, since it uses less digits than its factorization.

131133835486080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3564 (or 3549 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 131133835486080 in words is "one hundred thirty-one trillion, one hundred thirty-three billion, eight hundred thirty-five million, four hundred eighty-six thousand, eighty".