135334036656 has 240 divisors, whose sum is σ = 483416670464. Its totient is φ = 35692399872.

The previous prime is 135334036633. The next prime is 135334036661. The reversal of 135334036656 is 656630433531.

135334036656 is a `hidden beast` number, since 1 + 3 + 533 + 4 + 0 + 3 + 66 + 56 = 666.

135334036656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 162555 + ... + 545061.

Almost surely, 2^135334036656 is an apocalyptic number.

135334036656 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 135334036656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241708335232).

135334036656 is an abundant number, since it is smaller than the sum of its proper divisors (348082633808).

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

135334036656 is a wasteful number, since it uses less digits than its factorization.

135334036656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382550 (or 382532 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 45.

The spelling of 135334036656 in words is "one hundred thirty-five billion, three hundred thirty-four million, thirty-six thousand, six hundred fifty-six".