131828715648 has 480 divisors, whose sum is σ = 467577287100. Its totient is φ = 36740874240.

The previous prime is 131828715643. The next prime is 131828715703. The reversal of 131828715648 is 846517828131.

131828715648 is a `hidden beast` number, since 1 + 3 + 1 + 8 + 2 + 8 + 71 + 564 + 8 = 666.

131828715648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 129133859904 + 2694855744 = 359352^2 + 51912^2 .

It is a super-3 number, since 3×131828715648³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 131828715594 and 131828715603.

It is not an unprimeable number, because it can be changed into a prime (131828715643) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20826148 + ... + 20832476.

Almost surely, 2^131828715648 is an apocalyptic number.

131828715648 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 131828715648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233788643550).

131828715648 is an abundant number, since it is smaller than the sum of its proper divisors (335748571452).

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

131828715648 is an equidigital number, since it uses as much as digits as its factorization.

131828715648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6410 (or 6382 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

The spelling of 131828715648 in words is "one hundred thirty-one billion, eight hundred twenty-eight million, seven hundred fifteen thousand, six hundred forty-eight".