135475137667584 has 3840 divisors, whose sum is σ = 534740792256000. Its totient is φ = 33505447772160.

The previous prime is 135475137667543. The next prime is 135475137667633. The reversal of 135475137667584 is 485766731574531.

135475137667584 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 7 + 5 + 1 + 37 + 6 + 6 + 7 + 584 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (1778112000) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3661490207214 + ... + 3661490207250.

It is an arithmetic number, because the mean of its divisors is an integer number (139255414650).

Almost surely, 2^{135475137667584} 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 135475137667584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267370396128000).

135475137667584 is an abundant number, since it is smaller than the sum of its proper divisors (399265654588416).

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

135475137667584 is a wasteful number, since it uses less digits than its factorization.

135475137667584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 112 counting only the distinct ones).

The product of its digits is 1778112000, while the sum is 72.

The spelling of 135475137667584 in words is "one hundred thirty-five trillion, four hundred seventy-five billion, one hundred thirty-seven million, six hundred sixty-seven thousand, five hundred eighty-four".