210224134000 has 80 divisors (see below), whose sum is σ = 509253896736. Its totient is φ = 83935488000.

The previous prime is 210224133989. The next prime is 210224134009. The reversal of 210224134000 is 431422012.

210224134000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (210224134009) 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, 997920 + ... + 1190080.

Almost surely, 2^210224134000 is an apocalyptic number.

210224134000 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 210224134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254626948368).

210224134000 is an abundant number, since it is smaller than the sum of its proper divisors (299029762736).

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

210224134000 is a wasteful number, since it uses less digits than its factorization.

210224134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192731 (or 192715 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 210224134000 its reverse (431422012), we get a palindrome (210655556012).

The spelling of 210224134000 in words is "two hundred ten billion, two hundred twenty-four million, one hundred thirty-four thousand".