135611384832 has 1056 divisors, whose sum is σ = 515018649600. Its totient is φ = 33354547200.

The previous prime is 135611384827. The next prime is 135611384849. The reversal of 135611384832 is 238483116531.

It is a happy number.

135611384832 is a `hidden beast` number, since 1 + 3 + 56 + 113 + 8 + 483 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1716599769 + ... + 1716599847.

Almost surely, 2^135611384832 is an apocalyptic number.

135611384832 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 135611384832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257509324800).

135611384832 is an abundant number, since it is smaller than the sum of its proper divisors (379407264768).

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

135611384832 is a wasteful number, since it uses less digits than its factorization.

135611384832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 202 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 135611384832 in words is "one hundred thirty-five billion, six hundred eleven million, three hundred eighty-four thousand, eight hundred thirty-two".