131468776128 has 84 divisors (see below), whose sum is σ = 377195913120. Its totient is φ = 43780548096.

The previous prime is 131468776121. The next prime is 131468776133. The reversal of 131468776128 is 821677864131.

131468776128 is a `hidden beast` number, since 1 + 3 + 14 + 6 + 8 + 7 + 7 + 612 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (131468776121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 488626 + ... + 708302.

Almost surely, 2^131468776128 is an apocalyptic number.

131468776128 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 131468776128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188597956560).

131468776128 is an abundant number, since it is smaller than the sum of its proper divisors (245727136992).

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

131468776128 is a wasteful number, since it uses less digits than its factorization.

131468776128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220734 (or 220721 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The spelling of 131468776128 in words is "one hundred thirty-one billion, four hundred sixty-eight million, seven hundred seventy-six thousand, one hundred twenty-eight".