135445212441168 has 160 divisors (see below), whose sum is σ = 413225978511360. Its totient is φ = 37410318167040.

The previous prime is 135445212441101. The next prime is 135445212441169. The reversal of 135445212441168 is 861144212544531.

It is a super-2 number, since 2×135445212441168² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 135445212441168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135445212441169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2820853 + ... + 16698731.

It is an arithmetic number, because the mean of its divisors is an integer number (2582662365696).

Almost surely, 2^{135445212441168} 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 135445212441168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206612989255680).

135445212441168 is an abundant number, since it is smaller than the sum of its proper divisors (277780766070192).

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

135445212441168 is a wasteful number, since it uses less digits than its factorization.

135445212441168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13878865 (or 13878859 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 51.

Adding to 135445212441168 its reverse (861144212544531), we get a palindrome (996589424985699).

The spelling of 135445212441168 in words is "one hundred thirty-five trillion, four hundred forty-five billion, two hundred twelve million, four hundred forty-one thousand, one hundred sixty-eight".