4152 has 16 divisors (see below), whose sum is σ = 10440. Its totient is φ = 1376.

The previous prime is 4139. The next prime is 4153. The reversal of 4152 is 2514.

4152 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a d-powerful number, because it can be written as 4⁵ + 5⁵ + 1 + 2 .

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4152.

It is not an unprimeable number, because it can be changed into a prime (4153) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63 + ... + 110.

2⁴¹⁵² is an apocalyptic number.

It is an amenable number.

4152 is an abundant number, since it is smaller than the sum of its proper divisors (6288).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5220).

4152 is a wasteful number, since it uses less digits than its factorization.

4152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 178 counting only the distinct ones).

The product of its digits is 40, while the sum is 12.

The square root of 4152 is about 64.4360147743. The cubic root of 4152 is about 16.0725868654.

Adding to 4152 its reverse (2514), we get a palindrome (6666).

The spelling of 4152 in words is "four thousand, one hundred fifty-two".