135456205248 has 504 divisors, whose sum is σ = 502124837760. Its totient is φ = 34569400320.

The previous prime is 135456205237. The next prime is 135456205249. The reversal of 135456205248 is 842502654531.

135456205248 is a `hidden beast` number, since 1 + 3 + 54 + 56 + 20 + 524 + 8 = 666.

135456205248 is digitally balanced in base 3, 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 (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135456205249) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11368318 + ... + 11380226.

It is an arithmetic number, because the mean of its divisors is an integer number (996279440).

Almost surely, 2^135456205248 is an apocalyptic number.

135456205248 is a gapful number since it is divisible by the number (18) 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 135456205248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251062418880).

135456205248 is an abundant number, since it is smaller than the sum of its proper divisors (366668632512).

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

135456205248 is a wasteful number, since it uses less digits than its factorization.

135456205248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11985 (or 11965 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

Adding to 135456205248 its reverse (842502654531), we get a palindrome (977958859779).

The spelling of 135456205248 in words is "one hundred thirty-five billion, four hundred fifty-six million, two hundred five thousand, two hundred forty-eight".