201142600 has 48 divisors (see below), whose sum is σ = 471398400. Its totient is φ = 79813440.

The previous prime is 201142561. The next prime is 201142631. The reversal of 201142600 is 6241102.

201142600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21441 + ... + 29359.

It is an arithmetic number, because the mean of its divisors is an integer number (9820800).

Almost surely, 2^201142600 is an apocalyptic number.

201142600 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 201142600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235699200).

201142600 is an abundant number, since it is smaller than the sum of its proper divisors (270255800).

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

201142600 is a wasteful number, since it uses less digits than its factorization.

201142600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8062 (or 8053 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 201142600 is about 14182.4751013355. The cubic root of 201142600 is about 585.9150944558.

Adding to 201142600 its reverse (6241102), we get a palindrome (207383702).

The spelling of 201142600 in words is "two hundred one million, one hundred forty-two thousand, six hundred".