135566201813328 has 720 divisors, whose sum is σ = 478599792652800. Its totient is φ = 35500086927360.

The previous prime is 135566201813321. The next prime is 135566201813377. The reversal of 135566201813328 is 823318102665531.

135566201813328 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 6 + 620 + 1 + 8 + 1 + 3 + 3 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135566201813321) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 244582648 + ... + 245136296.

It is an arithmetic number, because the mean of its divisors is an integer number (664721934240).

Almost surely, 2^{135566201813328} is an apocalyptic number.

135566201813328 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 135566201813328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239299896326400).

135566201813328 is an abundant number, since it is smaller than the sum of its proper divisors (343033590839472).

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

135566201813328 is a wasteful number, since it uses less digits than its factorization.

135566201813328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553768 (or 553748 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 135566201813328 in words is "one hundred thirty-five trillion, five hundred sixty-six billion, two hundred one million, eight hundred thirteen thousand, three hundred twenty-eight".