214140 has 48 divisors (see below), whose sum is σ = 620928. Its totient is φ = 55104.

The previous prime is 214133. The next prime is 214141. The reversal of 214140 is 41412.

214140 is digitally balanced in base 2 and base 3, because in such bases 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 (12).

It is an Ulam number.

It is a plaindrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 214140.

It is not an unprimeable number, because it can be changed into a prime (214141) by changing a digit.

214140 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2539 + ... + 2621.

It is an arithmetic number, because the mean of its divisors is an integer number (12936).

2²¹⁴¹⁴⁰ is an apocalyptic number.

214140 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 214140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310464).

214140 is an abundant number, since it is smaller than the sum of its proper divisors (406788).

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

214140 is a wasteful number, since it uses less digits than its factorization.

214140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 214140 is about 462.7526337040. The cubic root of 214140 is about 59.8272810576.

Adding to 214140 its reverse (41412), we get a palindrome (255552).

The spelling of 214140 in words is "two hundred fourteen thousand, one hundred forty", and thus it is an iban number.