38142 has 24 divisors (see below), whose sum is σ = 89544. Its totient is φ = 11664.

The previous prime is 38119. The next prime is 38149. The reversal of 38142 is 24183.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38149) by changing a digit.

38142 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 11 ways as a sum of consecutive naturals, for example, 153 + ... + 315.

It is an arithmetic number, because the mean of its divisors is an integer number (3731).

2³⁸¹⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44772).

38142 is an abundant number, since it is smaller than the sum of its proper divisors (51402).

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

38142 is a wasteful number, since it uses less digits than its factorization.

38142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 181 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 38142 is about 195.2997695851. The cubic root of 38142 is about 33.6615792507.

Subtracting from 38142 its product of digits (192), we obtain a triangular number (37950 = T₂₇₅).

The spelling of 38142 in words is "thirty-eight thousand, one hundred forty-two".