135340013760 has 448 divisors, whose sum is σ = 523534233600. Its totient is φ = 28916121600.

The previous prime is 135340013741. The next prime is 135340013789. The reversal of 135340013760 is 67310043531.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17017785 + ... + 17025735.

It is an arithmetic number, because the mean of its divisors is an integer number (1168603200).

Almost surely, 2^135340013760 is an apocalyptic number.

135340013760 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 135340013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261767116800).

135340013760 is an abundant number, since it is smaller than the sum of its proper divisors (388194219840).

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

135340013760 is a wasteful number, since it uses less digits than its factorization.

135340013760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8144 (or 8134 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The spelling of 135340013760 in words is "one hundred thirty-five billion, three hundred forty million, thirteen thousand, seven hundred sixty".