135148321226880 has 2304 divisors, whose sum is σ = 547309699372800. Its totient is φ = 30532239360000.

The previous prime is 135148321226869. The next prime is 135148321226923. The reversal of 135148321226880 is 88622123841531.

It is a happy number.

135148321226880 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 483 + 2 + 1 + 22 + 68 + 80 = 666.

135148321226880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 287 ways as a sum of consecutive naturals, for example, 192793610530 + ... + 192793611230.

It is an arithmetic number, because the mean of its divisors is an integer number (237547612575).

Almost surely, 2^{135148321226880} is an apocalyptic number.

135148321226880 is a gapful number since it is divisible by the number (10) 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 135148321226880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273654849686400).

135148321226880 is an abundant number, since it is smaller than the sum of its proper divisors (412161378145920).

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

135148321226880 is a wasteful number, since it uses less digits than its factorization.

135148321226880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 135148321226880 in words is "one hundred thirty-five trillion, one hundred forty-eight billion, three hundred twenty-one million, two hundred twenty-six thousand, eight hundred eighty".