201141600 has 288 divisors, whose sum is σ = 753701760. Its totient is φ = 46080000.

The previous prime is 201141599. The next prime is 201141641. The reversal of 201141600 is 6141102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201141600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 501400 + ... + 501800.

It is an arithmetic number, because the mean of its divisors is an integer number (2617020).

Almost surely, 2^201141600 is an apocalyptic number.

201141600 is a gapful number since it is divisible by the number (20) 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 201141600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376850880).

201141600 is an abundant number, since it is smaller than the sum of its proper divisors (552560160).

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

201141600 is a wasteful number, since it uses less digits than its factorization.

201141600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 201141600 is about 14182.4398465144. The cubic root of 201141600 is about 585.9141234763.

Adding to 201141600 its reverse (6141102), we get a palindrome (207282702).

The spelling of 201141600 in words is "two hundred one million, one hundred forty-one thousand, six hundred".