506142 has 64 divisors (see below), whose sum is σ = 1397760. Its totient is φ = 132192.

The previous prime is 506131. The next prime is 506147. The reversal of 506142 is 241605.

It is a happy number.

506142 is a `hidden beast` number, since 50 + 614 + 2 = 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 inconsummate number, since it does not exist a number n which divided by its sum of digits gives 506142.

It is not an unprimeable number, because it can be changed into a prime (506147) by changing a digit.

506142 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4863 + ... + 4965.

It is an arithmetic number, because the mean of its divisors is an integer number (21840).

2⁵⁰⁶¹⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698880).

506142 is an abundant number, since it is smaller than the sum of its proper divisors (891618).

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

506142 is a wasteful number, since it uses less digits than its factorization.

506142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 506142 is about 711.4365748259. The cubic root of 506142 is about 79.6937247733.

Adding to 506142 its reverse (241605), we get a palindrome (747747).

The spelling of 506142 in words is "five hundred six thousand, one hundred forty-two".