141411200 has 192 divisors, whose sum is σ = 409795200. Its totient is φ = 47216640.

The previous prime is 141411161. The next prime is 141411217. The reversal of 141411200 is 2114141.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1321547 + ... + 1321653.

It is an arithmetic number, because the mean of its divisors is an integer number (2134350).

Almost surely, 2^141411200 is an apocalyptic number.

141411200 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 141411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204897600).

141411200 is an abundant number, since it is smaller than the sum of its proper divisors (268384000).

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

141411200 is a wasteful number, since it uses less digits than its factorization.

141411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 141411200 is about 11891.6441251830. The cubic root of 141411200 is about 520.9882586941.

Adding to 141411200 its reverse (2114141), we get a palindrome (143525341).

The spelling of 141411200 in words is "one hundred forty-one million, four hundred eleven thousand, two hundred".