135335972561472 has 1008 divisors, whose sum is σ = 439472256537600. Its totient is φ = 39716168583168.

The previous prime is 135335972561467. The next prime is 135335972561507. The reversal of 135335972561472 is 274165279533531.

135335972561472 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 3 + 5 + 9 + 7 + 2 + 5 + 614 + 7 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40924090443 + ... + 40924093749.

Almost surely, 2^{135335972561472} is an apocalyptic number.

135335972561472 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 135335972561472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219736128268800).

135335972561472 is an abundant number, since it is smaller than the sum of its proper divisors (304136283976128).

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

135335972561472 is a wasteful number, since it uses less digits than its factorization.

135335972561472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3628 (or 3596 counting only the distinct ones).

The product of its digits is 142884000, while the sum is 63.

The spelling of 135335972561472 in words is "one hundred thirty-five trillion, three hundred thirty-five billion, nine hundred seventy-two million, five hundred sixty-one thousand, four hundred seventy-two".