135264816 has 200 divisors, whose sum is σ = 418611600. Its totient is φ = 42094080.

The previous prime is 135264809. The next prime is 135264821. The reversal of 135264816 is 618462531.

It is a happy number.

135264816 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 648 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2217426 + ... + 2217486.

It is an arithmetic number, because the mean of its divisors is an integer number (2093058).

Almost surely, 2^135264816 is an apocalyptic number.

135264816 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 135264816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209305800).

135264816 is an abundant number, since it is smaller than the sum of its proper divisors (283346784).

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

135264816 is a wasteful number, since it uses less digits than its factorization.

135264816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 154 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 135264816 is about 11630.3403217619. The cubic root of 135264816 is about 513.3279937976.

The spelling of 135264816 in words is "one hundred thirty-five million, two hundred sixty-four thousand, eight hundred sixteen".