201141504 has 108 divisors (see below), whose sum is σ = 589048096. Its totient is φ = 65995776.

The previous prime is 201141503. The next prime is 201141517. The reversal of 201141504 is 405141102.

201141504 is a `hidden beast` number, since 20 + 1 + 141 + 504 = 666.

201141504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201141503) 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, 153717 + ... + 155019.

Almost surely, 2^201141504 is an apocalyptic number.

201141504 is a gapful number since it is divisible by the number (24) 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 201141504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294524048).

201141504 is an abundant number, since it is smaller than the sum of its proper divisors (387906592).

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

201141504 is a wasteful number, since it uses less digits than its factorization.

201141504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1392 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 201141504 is about 14182.4364620470. The cubic root of 201141504 is about 585.9140302621.

Adding to 201141504 its reverse (405141102), we get a palindrome (606282606).

The spelling of 201141504 in words is "two hundred one million, one hundred forty-one thousand, five hundred four".