135328619184 has 240 divisors, whose sum is σ = 403795822080. Its totient is φ = 38722844160.

The previous prime is 135328619177. The next prime is 135328619191. The reversal of 135328619184 is 481916823531.

It is an interprime number because it is at equal distance from previous prime (135328619177) and next prime (135328619191).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22062582 + ... + 22068714.

It is an arithmetic number, because the mean of its divisors is an integer number (1682482592).

Almost surely, 2^135328619184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135328619184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201897911040).

135328619184 is an abundant number, since it is smaller than the sum of its proper divisors (268467202896).

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

135328619184 is a wasteful number, since it uses less digits than its factorization.

135328619184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6280 (or 6251 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 51.

The spelling of 135328619184 in words is "one hundred thirty-five billion, three hundred twenty-eight million, six hundred nineteen thousand, one hundred eighty-four".