135216630436368 has 160 divisors (see below), whose sum is σ = 392915273313024. Its totient is φ = 39757669687296.

The previous prime is 135216630436367. The next prime is 135216630436439. The reversal of 135216630436368 is 863634036612531.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (135216630436367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10265380 + ... + 19385852.

Almost surely, 2^{135216630436368} 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 135216630436368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196457636656512).

135216630436368 is an abundant number, since it is smaller than the sum of its proper divisors (257698642876656).

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

135216630436368 is a wasteful number, since it uses less digits than its factorization.

135216630436368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9121553 (or 9121547 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 57.

The spelling of 135216630436368 in words is "one hundred thirty-five trillion, two hundred sixteen billion, six hundred thirty million, four hundred thirty-six thousand, three hundred sixty-eight".