135468300138768 has 160 divisors (see below), whose sum is σ = 389389927449600. Its totient is φ = 45092736958464.

The previous prime is 135468300138727. The next prime is 135468300138863. The reversal of 135468300138768 is 867831003864531.

It is a happy number.

135468300138768 is a `hidden beast` number, since 1 + 3 + 5 + 468 + 30 + 0 + 1 + 3 + 87 + 68 = 666.

135468300138768 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5070477346 + ... + 5070504062.

It is an arithmetic number, because the mean of its divisors is an integer number (2433687046560).

Almost surely, 2^{135468300138768} is an apocalyptic number.

135468300138768 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 135468300138768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194694963724800).

135468300138768 is an abundant number, since it is smaller than the sum of its proper divisors (253921627310832).

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

135468300138768 is a wasteful number, since it uses less digits than its factorization.

135468300138768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42766 (or 42754 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 135468300138768 in words is "one hundred thirty-five trillion, four hundred sixty-eight billion, three hundred million, one hundred thirty-eight thousand, seven hundred sixty-eight".