201305152 has 42 divisors (see below), whose sum is σ = 421644318. Its totient is φ = 95344128.

The previous prime is 201305149. The next prime is 201305173. The reversal of 201305152 is 251503102.

It can be written as a sum of positive squares in only one way, i.e., 199826496 + 1478656 = 14136^2 + 1216^2 .

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18748 + ... + 27460.

Almost surely, 2^201305152 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 201305152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210822159).

201305152 is an abundant number, since it is smaller than the sum of its proper divisors (220339166).

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

201305152 is an equidigital number, since it uses as much as digits as its factorization.

201305152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8763 (or 8734 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 201305152 is about 14188.2046785349. The cubic root of 201305152 is about 586.0728863667.

Adding to 201305152 its reverse (251503102), we get a palindrome (452808254).

The spelling of 201305152 in words is "two hundred one million, three hundred five thousand, one hundred fifty-two".