135383338464 has 192 divisors, whose sum is σ = 416279388672. Its totient is φ = 38067814400.

The previous prime is 135383338459. The next prime is 135383338471. The reversal of 135383338464 is 464833383531.

135383338464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1221484 + ... + 1327700.

It is an arithmetic number, because the mean of its divisors is an integer number (2168121816).

Almost surely, 2^135383338464 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 135383338464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208139694336).

135383338464 is an abundant number, since it is smaller than the sum of its proper divisors (280896050208).

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

135383338464 is a wasteful number, since it uses less digits than its factorization.

135383338464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106329 (or 106321 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 51.

The spelling of 135383338464 in words is "one hundred thirty-five billion, three hundred eighty-three million, three hundred thirty-eight thousand, four hundred sixty-four".