135533216 has 144 divisors (see below), whose sum is σ = 342868680. Its totient is φ = 52254720.

The previous prime is 135533191. The next prime is 135533263. The reversal of 135533216 is 612335531.

It can be written as a sum of positive squares in 4 ways, for example, as 67305616 + 68227600 = 8204^2 + 8260^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1243370 + ... + 1243478.

Almost surely, 2^135533216 is an apocalyptic number.

135533216 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 135533216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171434340).

135533216 is an abundant number, since it is smaller than the sum of its proper divisors (207335464).

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

135533216 is a wasteful number, since it uses less digits than its factorization.

135533216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 192 counting only the distinct ones).

The product of its digits is 8100, while the sum is 29.

The square root of 135533216 is about 11641.8733887635. The cubic root of 135533216 is about 513.6672941654.

Adding to 135533216 its reverse (612335531), we get a palindrome (747868747).

The spelling of 135533216 in words is "one hundred thirty-five million, five hundred thirty-three thousand, two hundred sixteen".