135286521216 has 512 divisors, whose sum is σ = 460662681600. Its totient is φ = 34161254400.

The previous prime is 135286521211. The next prime is 135286521233. The reversal of 135286521216 is 612125682531.

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 (135286521211) 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 63 ways as a sum of consecutive naturals, for example, 205290295 + ... + 205290953.

It is an arithmetic number, because the mean of its divisors is an integer number (899731800).

Almost surely, 2^135286521216 is an apocalyptic number.

135286521216 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 135286521216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230331340800).

135286521216 is an abundant number, since it is smaller than the sum of its proper divisors (325376160384).

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

135286521216 is a wasteful number, since it uses less digits than its factorization.

135286521216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 866 counting only the distinct ones).

The product of its digits is 172800, while the sum is 42.

It can be divided in two parts, 1352 and 86521216, that added together give a palindrome (86522568).

The spelling of 135286521216 in words is "one hundred thirty-five billion, two hundred eighty-six million, five hundred twenty-one thousand, two hundred sixteen".