135436505533056 has 1536 divisors, whose sum is σ = 497902935129600. Its totient is φ = 34589447553024.

The previous prime is 135436505533031. The next prime is 135436505533057. The reversal of 135436505533056 is 650335505634531.

135436505533056 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 3 + 6 + 5 + 0 + 553 + 30 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 135436505532993 and 135436505533011.

It is not an unprimeable number, because it can be changed into a prime (135436505533057) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 201242949936 + ... + 201242950608.

It is an arithmetic number, because the mean of its divisors is an integer number (324155556725).

Almost surely, 2^{135436505533056} is an apocalyptic number.

135436505533056 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 135436505533056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248951467564800).

135436505533056 is an abundant number, since it is smaller than the sum of its proper divisors (362466429596544).

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

135436505533056 is a wasteful number, since it uses less digits than its factorization.

135436505533056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 36450000, while the sum is 54.

The spelling of 135436505533056 in words is "one hundred thirty-five trillion, four hundred thirty-six billion, five hundred five million, five hundred thirty-three thousand, fifty-six".