15042 has 16 divisors (see below), whose sum is σ = 31680. Its totient is φ = 4752.

The previous prime is 15031. The next prime is 15053. The reversal of 15042 is 24051.

15042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (15031) and next prime (15053).

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 15042.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84 + ... + 192.

It is an arithmetic number, because the mean of its divisors is an integer number (1980).

2¹⁵⁰⁴² is an apocalyptic number.

15042 is an abundant number, since it is smaller than the sum of its proper divisors (16638).

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 (15840).

15042 is a wasteful number, since it uses less digits than its factorization.

15042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137.

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

The square root of 15042 is about 122.6458315639. The cubic root of 15042 is about 24.6851172726.

Adding to 15042 its reverse (24051), we get a palindrome (39093).

Subtracting 15042 from its reverse (24051), we obtain a palindrome (9009).

The spelling of 15042 in words is "fifteen thousand, forty-two".