135366336 has 336 divisors, whose sum is σ = 495482880. Its totient is φ = 35458560.

The previous prime is 135366311. The next prime is 135366347. The reversal of 135366336 is 633663531.

135366336 is a `hidden beast` number, since 13 + 5 + 3 + 6 + 633 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a self number, because there is not a number n which added to its sum of digits gives 135366336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4366641 + ... + 4366671.

Almost surely, 2^135366336 is an apocalyptic number.

135366336 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 135366336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247741440).

135366336 is an abundant number, since it is smaller than the sum of its proper divisors (360116544).

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

135366336 is a wasteful number, since it uses less digits than its factorization.

135366336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 62 counting only the distinct ones).

The product of its digits is 87480, while the sum is 36.

The square root of 135366336 is about 11634.7039498218. The cubic root of 135366336 is about 513.4563839868.

The spelling of 135366336 in words is "one hundred thirty-five million, three hundred sixty-six thousand, three hundred thirty-six".