214145160 has 128 divisors (see below), whose sum is σ = 672122880. Its totient is φ = 54528768.

The previous prime is 214145153. The next prime is 214145167. The reversal of 214145160 is 61541412.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (214145153) and next prime (214145167).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 214145160.

It is not an unprimeable number, because it can be changed into a prime (214145167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242079 + ... + 242961.

It is an arithmetic number, because the mean of its divisors is an integer number (5250960).

Almost surely, 2^214145160 is an apocalyptic number.

214145160 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 214145160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336061440).

214145160 is an abundant number, since it is smaller than the sum of its proper divisors (457977720).

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

214145160 is a wasteful number, since it uses less digits than its factorization.

214145160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 214145160 is about 14633.6994639086. The cubic root of 214145160 is about 598.2776159420.

Adding to 214145160 its reverse (61541412), we get a palindrome (275686572).

The spelling of 214145160 in words is "two hundred fourteen million, one hundred forty-five thousand, one hundred sixty".