135151821168 has 240 divisors, whose sum is σ = 441905778720. Its totient is φ = 35276193792.

The previous prime is 135151821137. The next prime is 135151821169. The reversal of 135151821168 is 861128151531.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135151821169) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2943088 + ... + 2988656.

It is an arithmetic number, because the mean of its divisors is an integer number (1841274078).

Almost surely, 2^135151821168 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 135151821168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220952889360).

135151821168 is an abundant number, since it is smaller than the sum of its proper divisors (306753957552).

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

135151821168 is a wasteful number, since it uses less digits than its factorization.

135151821168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45704 (or 45691 counting only the distinct ones).

The product of its digits is 57600, while the sum is 42.

Adding to 135151821168 its reverse (861128151531), we get a palindrome (996279972699).

The spelling of 135151821168 in words is "one hundred thirty-five billion, one hundred fifty-one million, eight hundred twenty-one thousand, one hundred sixty-eight".