135665627328 has 840 divisors, whose sum is σ = 532782987264. Its totient is φ = 33689779200.

The previous prime is 135665627309. The next prime is 135665627359. The reversal of 135665627328 is 823726566531.

135665627328 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 6 + 5 + 627 + 3 + 2 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 64264993 + ... + 64267103.

Almost surely, 2^135665627328 is an apocalyptic number.

135665627328 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 135665627328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266391493632).

135665627328 is an abundant number, since it is smaller than the sum of its proper divisors (397117359936).

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

135665627328 is a wasteful number, since it uses less digits than its factorization.

135665627328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183 (or 2157 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 135665627328 in words is "one hundred thirty-five billion, six hundred sixty-five million, six hundred twenty-seven thousand, three hundred twenty-eight".