135246803328 has 1024 divisors, whose sum is σ = 513312307200. Its totient is φ = 34111881216.

The previous prime is 135246803309. The next prime is 135246803339. The reversal of 135246803328 is 823308642531.

135246803328 is a `hidden beast` number, since 1 + 3 + 5 + 246 + 80 + 3 + 328 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 987202876 + ... + 987203012.

It is an arithmetic number, because the mean of its divisors is an integer number (501281550).

Almost surely, 2^135246803328 is an apocalyptic number.

135246803328 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 135246803328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256656153600).

135246803328 is an abundant number, since it is smaller than the sum of its proper divisors (378065503872).

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

135246803328 is a wasteful number, since it uses less digits than its factorization.

135246803328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 135246803328 in words is "one hundred thirty-five billion, two hundred forty-six million, eight hundred three thousand, three hundred twenty-eight".