135012784321296 has 480 divisors, whose sum is σ = 474611623769088. Its totient is φ = 34950962626560.

The previous prime is 135012784321273. The next prime is 135012784321321. The reversal of 135012784321296 is 692123487210531.

135012784321296 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 1 + 27 + 8 + 4 + 321 + 296 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47754846 + ... + 50502978.

It is a 1-persistent number, because it is pandigital, but 2⋅135012784321296 = 270025568642592 is not.

Almost surely, 2^{135012784321296} is an apocalyptic number.

135012784321296 is a gapful number since it is divisible by the number (16) 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 135012784321296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237305811884544).

135012784321296 is an abundant number, since it is smaller than the sum of its proper divisors (339598839447792).

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

135012784321296 is a wasteful number, since it uses less digits than its factorization.

135012784321296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2748279 (or 2748270 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 135012784321296 in words is "one hundred thirty-five trillion, twelve billion, seven hundred eighty-four million, three hundred twenty-one thousand, two hundred ninety-six".