135345714560 has 160 divisors (see below), whose sum is σ = 377469482400. Its totient is φ = 46403718144.

The previous prime is 135345714503. The next prime is 135345714587. The reversal of 135345714560 is 65417543531.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-3 number, since 3×135345714560³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1492601 + ... + 1580679.

It is an arithmetic number, because the mean of its divisors is an integer number (2359184265).

Almost surely, 2^135345714560 is an apocalyptic number.

135345714560 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 135345714560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188734741200).

135345714560 is an abundant number, since it is smaller than the sum of its proper divisors (242123767840).

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

135345714560 is an frugal number, since it uses more digits than its factorization.

135345714560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88126 (or 88093 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 44.

The spelling of 135345714560 in words is "one hundred thirty-five billion, three hundred forty-five million, seven hundred fourteen thousand, five hundred sixty".