135321343560 has 192 divisors, whose sum is σ = 473844898800. Its totient is φ = 33294385152.

The previous prime is 135321343559. The next prime is 135321343567. The reversal of 135321343560 is 65343123531.

135321343560 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 213 + 435 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 30962625444 + 104358718116 = 175962^2 + 323046^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (135321343567) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 12579144 + ... + 12589896.

Almost surely, 2^135321343560 is an apocalyptic number.

135321343560 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 135321343560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236922449400).

135321343560 is an abundant number, since it is smaller than the sum of its proper divisors (338523555240).

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

135321343560 is a wasteful number, since it uses less digits than its factorization.

135321343560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13472 (or 13465 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 135321343560 in words is "one hundred thirty-five billion, three hundred twenty-one million, three hundred forty-three thousand, five hundred sixty".