4142152 has 64 divisors (see below), whose sum is σ = 9936000. Its totient is φ = 1575936.

The previous prime is 4142129. The next prime is 4142161. The reversal of 4142152 is 2512414.

4142152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4142152² = 34314846382208, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17974 + ... + 18202.

It is an arithmetic number, because the mean of its divisors is an integer number (155250).

Almost surely, 2^4142152 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 4142152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4968000).

4142152 is an abundant number, since it is smaller than the sum of its proper divisors (5793848).

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

4142152 is a wasteful number, since it uses less digits than its factorization.

4142152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 274 counting only the distinct ones).

The product of its digits is 320, while the sum is 19.

The square root of 4142152 is about 2035.2277513831. The cubic root of 4142152 is about 160.5986944865.

Adding to 4142152 its reverse (2512414), we get a palindrome (6654566).

The spelling of 4142152 in words is "four million, one hundred forty-two thousand, one hundred fifty-two".