135500353344 has 168 divisors, whose sum is σ = 408163389920. Its totient is φ = 42923768832.

The previous prime is 135500353343. The next prime is 135500353349. The reversal of 135500353344 is 443353005531.

135500353344 is a `hidden beast` number, since 1 + 3 + 550 + 0 + 35 + 33 + 44 = 666.

135500353344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 135500353299 and 135500353308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135500353343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 842487 + ... + 990345.

Almost surely, 2^135500353344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135500353344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204081694960).

135500353344 is an abundant number, since it is smaller than the sum of its proper divisors (272663036576).

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

135500353344 is a wasteful number, since it uses less digits than its factorization.

135500353344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147957 (or 147944 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

Adding to 135500353344 its reverse (443353005531), we get a palindrome (578853358875).

The spelling of 135500353344 in words is "one hundred thirty-five billion, five hundred million, three hundred fifty-three thousand, three hundred forty-four".