141965800 has 96 divisors (see below), whose sum is σ = 343504800. Its totient is φ = 54529280.

The previous prime is 141965783. The next prime is 141965809. The reversal of 141965800 is 8569141.

141965800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (141965809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 625287 + ... + 625513.

It is an arithmetic number, because the mean of its divisors is an integer number (3578175).

Almost surely, 2^141965800 is an apocalyptic number.

141965800 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 141965800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171752400).

141965800 is an abundant number, since it is smaller than the sum of its proper divisors (201539000).

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

141965800 is a wasteful number, since it uses less digits than its factorization.

141965800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 141965800 is about 11914.9402012767. The cubic root of 141965800 is about 521.6684574764.

The spelling of 141965800 in words is "one hundred forty-one million, nine hundred sixty-five thousand, eight hundred".