135475071285864 has 256 divisors, whose sum is σ = 350227750440960. Its totient is φ = 43649840000000.

The previous prime is 135475071285833. The next prime is 135475071285881. The reversal of 135475071285864 is 468582170574531.

It is a junction number, because it is equal to n+sod(n) for n = 135475071285795 and 135475071285804.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57624444289 + ... + 57624446639.

It is an arithmetic number, because the mean of its divisors is an integer number (1368077150160).

Almost surely, 2^{135475071285864} 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 135475071285864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175113875220480).

135475071285864 is an abundant number, since it is smaller than the sum of its proper divisors (214752679155096).

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

135475071285864 is a wasteful number, since it uses less digits than its factorization.

135475071285864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4552 (or 4548 counting only the distinct ones).

The product of its (nonzero) digits is 225792000, while the sum is 66.

The spelling of 135475071285864 in words is "one hundred thirty-five trillion, four hundred seventy-five billion, seventy-one million, two hundred eighty-five thousand, eight hundred sixty-four".