201305160 has 384 divisors, whose sum is σ = 819486720. Its totient is φ = 41803776.

The previous prime is 201305149. The next prime is 201305173. The reversal of 201305160 is 61503102.

201305160 = T₄₉ + T₅₀ + ... + T₁₀₆₄.

201305160 is a `hidden beast` number, since 20 + 130 + 516 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1585017 + ... + 1585143.

It is an arithmetic number, because the mean of its divisors is an integer number (2134080).

Almost surely, 2^201305160 is an apocalyptic number.

201305160 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 201305160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409743360).

201305160 is an abundant number, since it is smaller than the sum of its proper divisors (618181560).

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

201305160 is a wasteful number, since it uses less digits than its factorization.

201305160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 201305160 is about 14188.2049604592. The cubic root of 201305160 is about 586.0728941304.

Adding to 201305160 its reverse (61503102), we get a palindrome (262808262).

The spelling of 201305160 in words is "two hundred one million, three hundred five thousand, one hundred sixty".