137142 has 24 divisors (see below), whose sum is σ = 313560. Its totient is φ = 43200.

The previous prime is 137131. The next prime is 137143. The reversal of 137142 is 241731.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137143) by changing a digit.

137142 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, 142 + ... + 542.

It is an arithmetic number, because the mean of its divisors is an integer number (13065).

2¹³⁷¹⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156780).

137142 is an abundant number, since it is smaller than the sum of its proper divisors (176418).

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

137142 is a wasteful number, since it uses less digits than its factorization.

137142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 425 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 137142 is about 370.3268826321. The cubic root of 137142 is about 51.5691721393.

Adding to 137142 its reverse (241731), we get a palindrome (378873).

The spelling of 137142 in words is "one hundred thirty-seven thousand, one hundred forty-two".