213636144 has 80 divisors (see below), whose sum is σ = 609818112. Its totient is φ = 64103424.

The previous prime is 213636131. The next prime is 213636149. The reversal of 213636144 is 441636312.

213636144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (213636149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13077 + ... + 24459.

Almost surely, 2^213636144 is an apocalyptic number.

213636144 is a gapful number since it is divisible by the number (24) 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 213636144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304909056).

213636144 is an abundant number, since it is smaller than the sum of its proper divisors (396181968).

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

213636144 is a wasteful number, since it uses less digits than its factorization.

213636144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11434 (or 11428 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 213636144 is about 14616.2972055169. The cubic root of 213636144 is about 597.8032111250.

The spelling of 213636144 in words is "two hundred thirteen million, six hundred thirty-six thousand, one hundred forty-four".