135243056160 has 480 divisors, whose sum is σ = 485058076272. Its totient is φ = 35483443200.

The previous prime is 135243056149. The next prime is 135243056183. The reversal of 135243056160 is 61650342531.

135243056160 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 4 + 30 + 5 + 616 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 76421285136 + 58821771024 = 276444^2 + 242532^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

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, 362581734 + ... + 362582106.

Almost surely, 2^135243056160 is an apocalyptic number.

135243056160 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 135243056160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242529038136).

135243056160 is an abundant number, since it is smaller than the sum of its proper divisors (349815020112).

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

135243056160 is a wasteful number, since it uses less digits than its factorization.

135243056160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 135243056160 its reverse (61650342531), we get a palindrome (196893398691).

The spelling of 135243056160 in words is "one hundred thirty-five billion, two hundred forty-three million, fifty-six thousand, one hundred sixty".