135030816 has 72 divisors (see below), whose sum is σ = 385287084. Its totient is φ = 44858880.

The previous prime is 135030811. The next prime is 135030851. The reversal of 135030816 is 618030531.

135030816 is a `hidden beast` number, since 1 + 350 + 308 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 120560400 + 14470416 = 10980^2 + 3804^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 135030816.

It is not an unprimeable number, because it can be changed into a prime (135030811) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 113746 + ... + 114926.

Almost surely, 2^135030816 is an apocalyptic number.

135030816 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 135030816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192643542).

135030816 is an abundant number, since it is smaller than the sum of its proper divisors (250256268).

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

135030816 is a wasteful number, since it uses less digits than its factorization.

135030816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 135030816 is about 11620.2760724520. The cubic root of 135030816 is about 513.0318140843.

The spelling of 135030816 in words is "one hundred thirty-five million, thirty thousand, eight hundred sixteen".