135809376297984 has 297 divisors, whose sum is σ = 394594258688539. Its totient is φ = 44988983869440.

The previous prime is 135809376297919. The next prime is 135809376298007. The reversal of 135809376297984 is 489792673908531.

The square root of 135809376297984 is 11653728.

It is a perfect power (a square), and thus also a powerful number.

135809376297984 is a `hidden beast` number, since 1 + 3 + 5 + 80 + 9 + 376 + 2 + 97 + 9 + 84 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35683896960000 + 100125479337984 = 5973600^2 + 10006272^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 260670587644 + ... + 260670588164.

It is a 1-persistent number, because it is pandigital, but 2⋅135809376297984 = 271618752595968 is not.

Almost surely, 2^{135809376297984} is an apocalyptic number.

135809376297984 is the 11653728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135809376297984

135809376297984 is an abundant number, since it is smaller than the sum of its proper divisors (258784882390555).

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

135809376297984 is an frugal number, since it uses more digits than its factorization.

135809376297984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 4938071040, while the sum is 81.

The spelling of 135809376297984 in words is "one hundred thirty-five trillion, eight hundred nine billion, three hundred seventy-six million, two hundred ninety-seven thousand, nine hundred eighty-four".