135933355008 has 440 divisors, whose sum is σ = 445123261440. Its totient is φ = 40978759680.

The previous prime is 135933354929. The next prime is 135933355067. The reversal of 135933355008 is 800553339531.

135933355008 is a `hidden beast` number, since 1 + 3 + 5 + 93 + 3 + 3 + 550 + 0 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 349442878 + ... + 349443266.

It is an arithmetic number, because the mean of its divisors is an integer number (1011643776).

Almost surely, 2^135933355008 is an apocalyptic number.

135933355008 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 135933355008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222561630720).

135933355008 is an abundant number, since it is smaller than the sum of its proper divisors (309189906432).

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

135933355008 is a wasteful number, since it uses less digits than its factorization.

135933355008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 45.

The spelling of 135933355008 in words is "one hundred thirty-five billion, nine hundred thirty-three million, three hundred fifty-five thousand, eight".