135516213321216 has 640 divisors, whose sum is σ = 467893919539200. Its totient is φ = 33847084154880.

The previous prime is 135516213321191. The next prime is 135516213321287. The reversal of 135516213321216 is 612123312615531.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 8846275605 + ... + 8846290923.

It is an arithmetic number, because the mean of its divisors is an integer number (731084249280).

Almost surely, 2^{135516213321216} is an apocalyptic number.

135516213321216 is a gapful number since it is divisible by the number (16) 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 135516213321216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233946959769600).

135516213321216 is an abundant number, since it is smaller than the sum of its proper divisors (332377706217984).

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

135516213321216 is a wasteful number, since it uses less digits than its factorization.

135516213321216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18710 (or 18694 counting only the distinct ones).

The product of its digits is 194400, while the sum is 42.

Adding to 135516213321216 its reverse (612123312615531), we get a palindrome (747639525936747).

The spelling of 135516213321216 in words is "one hundred thirty-five trillion, five hundred sixteen billion, two hundred thirteen million, three hundred twenty-one thousand, two hundred sixteen".