214144000 has 176 divisors, whose sum is σ = 613117440. Its totient is φ = 73113600.

The previous prime is 214143973. The next prime is 214144013. The reversal of 214144000 is 441412.

214144000 = T₃₄₉ + T₃₅₀ + ... + T₁₀₉₈.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 895881 + ... + 896119.

Almost surely, 2^214144000 is an apocalyptic number.

214144000 is a gapful number since it is divisible by the number (20) 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 214144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306558720).

214144000 is an abundant number, since it is smaller than the sum of its proper divisors (398973440).

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

214144000 is an equidigital number, since it uses as much as digits as its factorization.

214144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 214144000 is about 14633.6598293113. The cubic root of 214144000 is about 598.2765356727.

Adding to 214144000 its reverse (441412), we get a palindrome (214585412).

The spelling of 214144000 in words is "two hundred fourteen million, one hundred forty-four thousand".