201141888 has 128 divisors (see below), whose sum is σ = 562583040. Its totient is φ = 63590400.

The previous prime is 201141823. The next prime is 201141901. The reversal of 201141888 is 888141102.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 726006 + ... + 726282.

It is an arithmetic number, because the mean of its divisors is an integer number (4395180).

Almost surely, 2^201141888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201141888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281291520).

201141888 is an abundant number, since it is smaller than the sum of its proper divisors (361441152).

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

201141888 is a wasteful number, since it uses less digits than its factorization.

201141888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 33.

The square root of 201141888 is about 14182.4499999119. The cubic root of 201141888 is about 585.9144031187.

The spelling of 201141888 in words is "two hundred one million, one hundred forty-one thousand, eight hundred eighty-eight".