141214200 has 96 divisors (see below), whose sum is σ = 449666160. Its totient is φ = 36633600.

The previous prime is 141214169. The next prime is 141214219. The reversal of 141214200 is 2412141.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 141214200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19020 + ... + 25380.

Almost surely, 2^141214200 is an apocalyptic number.

141214200 is a gapful number since it is divisible by the number (10) 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 141214200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224833080).

141214200 is an abundant number, since it is smaller than the sum of its proper divisors (308451960).

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

141214200 is a wasteful number, since it uses less digits than its factorization.

141214200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6417 (or 6408 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 141214200 is about 11883.3581112411. The cubic root of 141214200 is about 520.7462166115.

Adding to 141214200 its reverse (2412141), we get a palindrome (143626341).

The spelling of 141214200 in words is "one hundred forty-one million, two hundred fourteen thousand, two hundred".