218134000 has 80 divisors (see below), whose sum is σ = 602836416. Its totient is φ = 74784000.

The previous prime is 218133973. The next prime is 218134009. The reversal of 218134000 is 431812.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218134009) 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, 6210 + ... + 21790.

Almost surely, 2^218134000 is an apocalyptic number.

218134000 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 218134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301418208).

218134000 is an abundant number, since it is smaller than the sum of its proper divisors (384702416).

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

218134000 is a wasteful number, since it uses less digits than its factorization.

218134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15611 (or 15595 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 218134000 is about 14769.3601757151. The cubic root of 218134000 is about 601.9694542692.

Adding to 218134000 its reverse (431812), we get a palindrome (218565812).

The spelling of 218134000 in words is "two hundred eighteen million, one hundred thirty-four thousand".