135413512064 has 64 divisors (see below), whose sum is σ = 271333223280. Its totient is φ = 67315200000.

The previous prime is 135413511971. The next prime is 135413512103. The reversal of 135413512064 is 460215314531.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19305422 + ... + 19312434.

Almost surely, 2^135413512064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135413512064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135666611640).

135413512064 is an abundant number, since it is smaller than the sum of its proper divisors (135919711216).

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

135413512064 is an equidigital number, since it uses as much as digits as its factorization.

135413512064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7879 (or 7867 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

Adding to 135413512064 its reverse (460215314531), we get a palindrome (595628826595).

The spelling of 135413512064 in words is "one hundred thirty-five billion, four hundred thirteen million, five hundred twelve thousand, sixty-four".