135115111551330 has 320 divisors, whose sum is σ = 372474972334080. Its totient is φ = 35133276980736.

The previous prime is 135115111551319. The next prime is 135115111551347. The reversal of 135115111551330 is 33155111511531.

135115111551330 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 1 + 511 + 1 + 5 + 5 + 133 + 0 = 666.

135115111551330 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 159 ways as a sum of consecutive naturals, for example, 6430061904 + ... + 6430082916.

It is an arithmetic number, because the mean of its divisors is an integer number (1163984288544).

Almost surely, 2^{135115111551330} is an apocalyptic number.

135115111551330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135115111551330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186237486167040).

135115111551330 is an abundant number, since it is smaller than the sum of its proper divisors (237359860782750).

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

135115111551330 is a wasteful number, since it uses less digits than its factorization.

135115111551330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22295 (or 22286 counting only the distinct ones).

The product of its (nonzero) digits is 16875, while the sum is 36.

The spelling of 135115111551330 in words is "one hundred thirty-five trillion, one hundred fifteen billion, one hundred eleven million, five hundred fifty-one thousand, three hundred thirty".