141324800 has 120 divisors (see below), whose sum is σ = 357849492. Its totient is φ = 55296000.

The previous prime is 141324779. The next prime is 141324803. The reversal of 141324800 is 8423141.

It can be written as a sum of positive squares in 6 ways, for example, as 256 + 141324544 = 16^2 + 11888^2 .

It is not an unprimeable number, because it can be changed into a prime (141324803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 780710 + ... + 780890.

Almost surely, 2^141324800 is an apocalyptic number.

141324800 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 141324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178924746).

141324800 is an abundant number, since it is smaller than the sum of its proper divisors (216524692).

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

141324800 is an equidigital number, since it uses as much as digits as its factorization.

141324800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 141324800 is about 11888.0107671553. The cubic root of 141324800 is about 520.8821318900.

Adding to 141324800 its reverse (8423141), we get a palindrome (149747941).

The spelling of 141324800 in words is "one hundred forty-one million, three hundred twenty-four thousand, eight hundred".