214134120 has 96 divisors (see below), whose sum is σ = 700034400. Its totient is φ = 56766336.

The previous prime is 214134119. The next prime is 214134121. The reversal of 214134120 is 21431412.

214134120 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 an interprime number because it is at equal distance from previous prime (214134119) and next prime (214134121).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 214134093 and 214134102.

It is not an unprimeable number, because it can be changed into a prime (214134121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62779 + ... + 66101.

It is an arithmetic number, because the mean of its divisors is an integer number (7292025).

Almost surely, 2^214134120 is an apocalyptic number.

214134120 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 214134120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350017200).

214134120 is an abundant number, since it is smaller than the sum of its proper divisors (485900280).

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

214134120 is a wasteful number, since it uses less digits than its factorization.

214134120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3519 (or 3512 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 214134120 is about 14633.3222475281. The cubic root of 214134120 is about 598.2673346007.

Adding to 214134120 its reverse (21431412), we get a palindrome (235565532).

The spelling of 214134120 in words is "two hundred fourteen million, one hundred thirty-four thousand, one hundred twenty".