141148800 has 432 divisors, whose sum is σ = 564179850. Its totient is φ = 33546240.

The previous prime is 141148789. The next prime is 141148811. The reversal of 141148800 is 8841141.

It is an interprime number because it is at equal distance from previous prime (141148789) and next prime (141148811).

It can be written as a sum of positive squares in 9 ways, for example, as 2286144 + 138862656 = 1512^2 + 11784^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4867186 + ... + 4867214.

Almost surely, 2^141148800 is an apocalyptic number.

141148800 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 141148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282089925).

141148800 is an abundant number, since it is smaller than the sum of its proper divisors (423031050).

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

141148800 is a wasteful number, since it uses less digits than its factorization.

141148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 141148800 is about 11880.6060451477. The cubic root of 141148800 is about 520.6658137874.

Adding to 141148800 its reverse (8841141), we get a palindrome (149989941).

The spelling of 141148800 in words is "one hundred forty-one million, one hundred forty-eight thousand, eight hundred".