213804144 has 40 divisors (see below), whose sum is σ = 613698320. Its totient is φ = 71267904.

The previous prime is 213804109. The next prime is 213804161. The reversal of 213804144 is 441408312.

213804144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 247027 + ... + 247890.

It is an arithmetic number, because the mean of its divisors is an integer number (15342458).

Almost surely, 2^213804144 is an apocalyptic number.

213804144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213804144 is an abundant number, since it is smaller than the sum of its proper divisors (399894176).

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

213804144 is a wasteful number, since it uses less digits than its factorization.

213804144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494934 (or 494922 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 213804144 is about 14622.0430856977. The cubic root of 213804144 is about 597.9598709850.

It can be divided in two parts, 213 and 804144, that added together give a cube (804357 = 93³).

The spelling of 213804144 in words is "two hundred thirteen million, eight hundred four thousand, one hundred forty-four".