216539136 has 224 divisors, whose sum is σ = 707745600. Its totient is φ = 64880640.

The previous prime is 216539129. The next prime is 216539153. The reversal of 216539136 is 631935612.

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

Its product of digits (29160) is a multiple of the sum of its prime factors (135).

It is a self number, because there is not a number n which added to its sum of digits gives 216539136.

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 15 ways as a sum of consecutive naturals, for example, 2432980 + ... + 2433068.

Almost surely, 2^216539136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216539136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353872800).

216539136 is an abundant number, since it is smaller than the sum of its proper divisors (491206464).

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

216539136 is an equidigital number, since it uses as much as digits as its factorization.

216539136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 105 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 216539136 is about 14715.2688048843. The cubic root of 216539136 is about 600.4987852406.

The spelling of 216539136 in words is "two hundred sixteen million, five hundred thirty-nine thousand, one hundred thirty-six".