201131460 has 72 divisors (see below), whose sum is σ = 613843776. Its totient is φ = 53305920.

The previous prime is 201131459. The next prime is 201131461. The reversal of 201131460 is 64131102.

It is a happy number.

201131460 is a `hidden beast` number, since 201 + 1 + 3 + 1 + 460 = 666.

It is an interprime number because it is at equal distance from previous prime (201131459) and next prime (201131461).

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

It is not an unprimeable number, because it can be changed into a prime (201131461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26715 + ... + 33405.

It is an arithmetic number, because the mean of its divisors is an integer number (8525608).

Almost surely, 2^201131460 is an apocalyptic number.

201131460 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 201131460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306921888).

201131460 is an abundant number, since it is smaller than the sum of its proper divisors (412712316).

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

201131460 is a wasteful number, since it uses less digits than its factorization.

201131460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6873 (or 6868 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 201131460 is about 14182.0823576794. The cubic root of 201131460 is about 585.9042775617.

Adding to 201131460 its reverse (64131102), we get a palindrome (265262562).

The spelling of 201131460 in words is "two hundred one million, one hundred thirty-one thousand, four hundred sixty".