135064516664 has 128 divisors (see below), whose sum is σ = 328921689600. Its totient is φ = 50468352000.

The previous prime is 135064516663. The next prime is 135064516669. The reversal of 135064516664 is 466615460531.

135064516664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135064516663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1444784 + ... + 1535424.

It is an arithmetic number, because the mean of its divisors is an integer number (2569700700).

Almost surely, 2^135064516664 is an apocalyptic number.

135064516664 is a gapful number since it is divisible by the number (14) 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 135064516664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164460844800).

135064516664 is an abundant number, since it is smaller than the sum of its proper divisors (193857172936).

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

135064516664 is a wasteful number, since it uses less digits than its factorization.

135064516664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90765 (or 90761 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 47.

The spelling of 135064516664 in words is "one hundred thirty-five billion, sixty-four million, five hundred sixteen thousand, six hundred sixty-four".