201135140 has 48 divisors (see below), whose sum is σ = 447249600. Its totient is φ = 75768192.

The previous prime is 201135133. The next prime is 201135149. The reversal of 201135140 is 41531102.

201135140 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 (201135149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66542 + ... + 69498.

It is an arithmetic number, because the mean of its divisors is an integer number (9317700).

Almost surely, 2^201135140 is an apocalyptic number.

201135140 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 201135140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223624800).

201135140 is an abundant number, since it is smaller than the sum of its proper divisors (246114460).

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

201135140 is a wasteful number, since it uses less digits than its factorization.

201135140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3164 (or 3162 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 201135140 is about 14182.2120982589. The cubic root of 201135140 is about 585.9078508707.

Adding to 201135140 its reverse (41531102), we get a palindrome (242666242).

The spelling of 201135140 in words is "two hundred one million, one hundred thirty-five thousand, one hundred forty".