135148324531968 has 1296 divisors, whose sum is σ = 448422335891712. Its totient is φ = 40310784000000.

The previous prime is 135148324531937. The next prime is 135148324532051. The reversal of 135148324531968 is 869135423841531.

135148324531968 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 4 + 8 + 3 + 2 + 4 + 531 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 538439539843 + ... + 538439540093.

Almost surely, 2^{135148324531968} is an apocalyptic number.

135148324531968 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 135148324531968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224211167945856).

135148324531968 is an abundant number, since it is smaller than the sum of its proper divisors (313274011359744).

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

135148324531968 is an equidigital number, since it uses as much as digits as its factorization.

135148324531968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 611 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 63.

The spelling of 135148324531968 in words is "one hundred thirty-five trillion, one hundred forty-eight billion, three hundred twenty-four million, five hundred thirty-one thousand, nine hundred sixty-eight".