131328663552 has 224 divisors, whose sum is σ = 390667707360. Its totient is φ = 43599790080.

The previous prime is 131328663547. The next prime is 131328663601. The reversal of 131328663552 is 255366823131.

131328663552 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 2 + 8 + 6 + 635 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 131328663498 and 131328663507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62151648 + ... + 62153760.

It is an arithmetic number, because the mean of its divisors is an integer number (1744052265).

Almost surely, 2^131328663552 is an apocalyptic number.

131328663552 is a gapful number since it is divisible by the number (12) 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 131328663552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195333853680).

131328663552 is an abundant number, since it is smaller than the sum of its proper divisors (259339043808).

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

131328663552 is an equidigital number, since it uses as much as digits as its factorization.

131328663552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2429 (or 2399 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The spelling of 131328663552 in words is "one hundred thirty-one billion, three hundred twenty-eight million, six hundred sixty-three thousand, five hundred fifty-two".