135675596592 has 240 divisors, whose sum is σ = 414273102880. Its totient is φ = 42481345536.

The previous prime is 135675596579. The next prime is 135675596647. The reversal of 135675596592 is 295695576531.

It is a happy number.

135675596592 is a `hidden beast` number, since 1 + 3 + 567 + 5 + 5 + 9 + 65 + 9 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13437498 + ... + 13447590.

Almost surely, 2^135675596592 is an apocalyptic number.

135675596592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135675596592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207136551440).

135675596592 is an abundant number, since it is smaller than the sum of its proper divisors (278597506288).

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

135675596592 is a wasteful number, since it uses less digits than its factorization.

135675596592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10205 (or 10164 counting only the distinct ones).

The product of its digits is 76545000, while the sum is 63.

The spelling of 135675596592 in words is "one hundred thirty-five billion, six hundred seventy-five million, five hundred ninety-six thousand, five hundred ninety-two".