213966144 has 336 divisors, whose sum is σ = 774192000. Its totient is φ = 57915648.

The previous prime is 213966119. The next prime is 213966149. The reversal of 213966144 is 441669312.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

213966144 is a `hidden beast` number, since 2 + 1 + 39 + 6 + 614 + 4 = 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 nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 213966099 and 213966108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213966149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11261367 + ... + 11261385.

Almost surely, 2^213966144 is an apocalyptic number.

213966144 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 213966144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387096000).

213966144 is an abundant number, since it is smaller than the sum of its proper divisors (560225856).

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

213966144 is an equidigital number, since it uses as much as digits as its factorization.

213966144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 31 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 213966144 is about 14627.5816182990. The cubic root of 213966144 is about 598.1108581478.

The spelling of 213966144 in words is "two hundred thirteen million, nine hundred sixty-six thousand, one hundred forty-four".