135215354304 has 336 divisors, whose sum is σ = 414823339008. Its totient is φ = 42011633664.

The previous prime is 135215354243. The next prime is 135215354321. The reversal of 135215354304 is 403453512531.

135215354304 is a `hidden beast` number, since 1 + 3 + 5 + 215 + 3 + 5 + 430 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 247194159 + ... + 247194705.

Almost surely, 2^135215354304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135215354304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207411669504).

135215354304 is an abundant number, since it is smaller than the sum of its proper divisors (279607984704).

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

135215354304 is a wasteful number, since it uses less digits than its factorization.

135215354304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 135215354304 its reverse (403453512531), we get a palindrome (538668866835).

The spelling of 135215354304 in words is "one hundred thirty-five billion, two hundred fifteen million, three hundred fifty-four thousand, three hundred four".