135351336960 has 1280 divisors, whose sum is σ = 584643502080. Its totient is φ = 29302456320.

The previous prime is 135351336959. The next prime is 135351337019. The reversal of 135351336960 is 69633153531.

135351336960 is a `hidden beast` number, since 13 + 5 + 3 + 513 + 3 + 69 + 60 = 666.

135351336960 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2879815657 + ... + 2879815703.

It is an arithmetic number, because the mean of its divisors is an integer number (456752736).

Almost surely, 2^135351336960 is an apocalyptic number.

135351336960 is a gapful number since it is divisible by the number (10) 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 135351336960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292321751040).

135351336960 is an abundant number, since it is smaller than the sum of its proper divisors (449292165120).

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

135351336960 is an frugal number, since it uses more digits than its factorization.

135351336960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 656100, while the sum is 45.

The spelling of 135351336960 in words is "one hundred thirty-five billion, three hundred fifty-one million, three hundred thirty-six thousand, nine hundred sixty".