135648321052032 has 384 divisors, whose sum is σ = 426738910416000. Its totient is φ = 42772536705024.

The previous prime is 135648321051989. The next prime is 135648321052063. The reversal of 135648321052032 is 230250123846531.

135648321052032 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 4 + 83 + 2 + 10 + 520 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 397556319 + ... + 397897377.

It is an arithmetic number, because the mean of its divisors is an integer number (1111299245875).

Almost surely, 2^{135648321052032} is an apocalyptic number.

135648321052032 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 135648321052032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213369455208000).

135648321052032 is an abundant number, since it is smaller than the sum of its proper divisors (291090589363968).

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

135648321052032 is an equidigital number, since it uses as much as digits as its factorization.

135648321052032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341780 (or 341756 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

Adding to 135648321052032 its reverse (230250123846531), we get a palindrome (365898444898563).

The spelling of 135648321052032 in words is "one hundred thirty-five trillion, six hundred forty-eight billion, three hundred twenty-one million, fifty-two thousand, thirty-two".