135537405768 has 96 divisors (see below), whose sum is σ = 387000244800. Its totient is φ = 42734853504.

The previous prime is 135537405761. The next prime is 135537405781. The reversal of 135537405768 is 867504735531.

135537405768 is a `hidden beast` number, since 1 + 3 + 5 + 537 + 40 + 5 + 7 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (135537405761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 808530 + ... + 961662.

It is an arithmetic number, because the mean of its divisors is an integer number (4031252550).

Almost surely, 2^135537405768 is an apocalyptic number.

135537405768 is a gapful number since it is divisible by the number (18) 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 135537405768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193500122400).

135537405768 is an abundant number, since it is smaller than the sum of its proper divisors (251462839032).

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

135537405768 is a wasteful number, since it uses less digits than its factorization.

135537405768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153811 (or 153804 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 135537405768 in words is "one hundred thirty-five billion, five hundred thirty-seven million, four hundred five thousand, seven hundred sixty-eight".