131964518988288 has 800 divisors, whose sum is σ = 453650633251200. Its totient is φ = 37411871293440.

The previous prime is 131964518988173. The next prime is 131964518988373. The reversal of 131964518988288 is 882889815469131.

131964518988288 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 6 + 4 + 518 + 98 + 8 + 2 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

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, 21377693170 + ... + 21377699342.

It is an arithmetic number, because the mean of its divisors is an integer number (567063291564).

Almost surely, 2^{131964518988288} is an apocalyptic number.

131964518988288 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 131964518988288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226825316625600).

131964518988288 is an abundant number, since it is smaller than the sum of its proper divisors (321686114262912).

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

131964518988288 is an equidigital number, since it uses as much as digits as its factorization.

131964518988288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6770 (or 6745 counting only the distinct ones).

The product of its digits is 1911029760, while the sum is 81.

The spelling of 131964518988288 in words is "one hundred thirty-one trillion, nine hundred sixty-four billion, five hundred eighteen million, nine hundred eighty-eight thousand, two hundred eighty-eight".