135842531328 has 960 divisors, whose sum is σ = 502313011200. Its totient is φ = 35712368640.

The previous prime is 135842531303. The next prime is 135842531333. The reversal of 135842531328 is 823135248531.

135842531328 is a `hidden beast` number, since 1 + 3 + 5 + 84 + 2 + 531 + 32 + 8 = 666.

It is a super-2 number, since 2×135842531328² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1036965823 + ... + 1036965953.

It is an arithmetic number, because the mean of its divisors is an integer number (523242720).

Almost surely, 2^135842531328 is an apocalyptic number.

135842531328 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 135842531328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251156505600).

135842531328 is an abundant number, since it is smaller than the sum of its proper divisors (366470479872).

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

135842531328 is a wasteful number, since it uses less digits than its factorization.

135842531328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 209 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

Adding to 135842531328 its reverse (823135248531), we get a palindrome (958977779859).

The spelling of 135842531328 in words is "one hundred thirty-five billion, eight hundred forty-two million, five hundred thirty-one thousand, three hundred twenty-eight".