131563414080 has 560 divisors, whose sum is σ = 543664298496. Its totient is φ = 29576171520.

The previous prime is 131563414057. The next prime is 131563414093. The reversal of 131563414080 is 80414365131.

131563414080 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 634 + 14 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11061897 + ... + 11073783.

Almost surely, 2^131563414080 is an apocalyptic number.

131563414080 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 131563414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271832149248).

131563414080 is an abundant number, since it is smaller than the sum of its proper divisors (412100884416).

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

131563414080 is a wasteful number, since it uses less digits than its factorization.

131563414080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11984 (or 11965 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 131563414080 in words is "one hundred thirty-one billion, five hundred sixty-three million, four hundred fourteen thousand, eighty".