305152 has 24 divisors (see below), whose sum is σ = 614250. Its totient is φ = 151552.

The previous prime is 305147. The next prime is 305209. The reversal of 305152 is 251503.

It can be written as a sum of positive squares in only one way, i.e., 295936 + 9216 = 544^2 + 96^2 .

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1974 + ... + 2122.

2³⁰⁵¹⁵² is an apocalyptic number.

305152 is a gapful number since it is divisible by the number (32) 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 305152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307125).

305152 is an abundant number, since it is smaller than the sum of its proper divisors (309098).

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

305152 is an equidigital number, since it uses as much as digits as its factorization.

305152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 305152 is about 552.4056480522. The cubic root of 305152 is about 67.3243351916.

Adding to 305152 its reverse (251503), we get a palindrome (556655).

It can be divided in two parts, 305 and 152, that multiplied together give a triangular number (46360 = T₃₀₄).

The spelling of 305152 in words is "three hundred five thousand, one hundred fifty-two".