141124400 has 120 divisors (see below), whose sum is σ = 369024000. Its totient is φ = 51667200.

The previous prime is 141124351. The next prime is 141124439. The reversal of 141124400 is 4421141.

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, 235301 + ... + 235899.

It is an arithmetic number, because the mean of its divisors is an integer number (3075200).

Almost surely, 2^141124400 is an apocalyptic number.

141124400 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 141124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184512000).

141124400 is an abundant number, since it is smaller than the sum of its proper divisors (227899600).

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

141124400 is a wasteful number, since it uses less digits than its factorization.

141124400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 141124400 is about 11879.5791171236. The cubic root of 141124400 is about 520.6358100420.

Adding to 141124400 its reverse (4421141), we get a palindrome (145545541).

The spelling of 141124400 in words is "one hundred forty-one million, one hundred twenty-four thousand, four hundred".