135635530254336 has 384 divisors, whose sum is σ = 459282158899200. Its totient is φ = 38744622120960.

The previous prime is 135635530254253. The next prime is 135635530254353. The reversal of 135635530254336 is 633452035536531.

135635530254336 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 3 + 5 + 53 + 0 + 254 + 336 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1913261451 + ... + 1913332341.

It is an arithmetic number, because the mean of its divisors is an integer number (1196047288800).

Almost surely, 2^{135635530254336} is an apocalyptic number.

135635530254336 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 135635530254336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229641079449600).

135635530254336 is an abundant number, since it is smaller than the sum of its proper divisors (323646628644864).

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

135635530254336 is an equidigital number, since it uses as much as digits as its factorization.

135635530254336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75872 (or 75846 counting only the distinct ones).

The product of its (nonzero) digits is 43740000, while the sum is 54.

The spelling of 135635530254336 in words is "one hundred thirty-five trillion, six hundred thirty-five billion, five hundred thirty million, two hundred fifty-four thousand, three hundred thirty-six".