141284200 has 48 divisors (see below), whose sum is σ = 333019980. Its totient is φ = 55733760.

The previous prime is 141284179. The next prime is 141284203. The reversal of 141284200 is 2482141.

141284200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 68591524 + 72692676 = 8282^2 + 8526^2 .

It is a super-2 number, since 2×141284200² = 39922450339280000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (141284203) 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, 9762 + ... + 19438.

Almost surely, 2^141284200 is an apocalyptic number.

141284200 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 141284200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166509990).

141284200 is an abundant number, since it is smaller than the sum of its proper divisors (191735780).

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

141284200 is a wasteful number, since it uses less digits than its factorization.

141284200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9766 (or 9757 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 141284200 is about 11886.3030417367. The cubic root of 141284200 is about 520.8322471800.

The spelling of 141284200 in words is "one hundred forty-one million, two hundred eighty-four thousand, two hundred".