141315200 has 192 divisors, whose sum is σ = 389558400. Its totient is φ = 50319360.

The previous prime is 141315193. The next prime is 141315241. The reversal of 141315200 is 2513141.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1788761 + ... + 1788839.

It is an arithmetic number, because the mean of its divisors is an integer number (2028950).

Almost surely, 2^141315200 is an apocalyptic number.

141315200 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 141315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194779200).

141315200 is an abundant number, since it is smaller than the sum of its proper divisors (248243200).

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

141315200 is a wasteful number, since it uses less digits than its factorization.

141315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 141315200 is about 11887.6069921578. The cubic root of 141315200 is about 520.8703373531.

Adding to 141315200 its reverse (2513141), we get a palindrome (143828341).

The spelling of 141315200 in words is "one hundred forty-one million, three hundred fifteen thousand, two hundred".