142137 has 12 divisors (see below), whose sum is σ = 217620. Its totient is φ = 89088.

The previous prime is 142123. The next prime is 142151. The reversal of 142137 is 731241.

142137 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 (142123) and next prime (142151).

It can be written as a sum of positive squares in 2 ways, for example, as 46656 + 95481 = 216^2 + 309^2 .

It is not a de Polignac number, because 142137 - 2¹² = 138041 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 142137.

It is not an unprimeable number, because it can be changed into a prime (142157) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 312 + ... + 617.

It is an arithmetic number, because the mean of its divisors is an integer number (18135).

2¹⁴²¹³⁷ is an apocalyptic number.

142137 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

142137 is a deficient number, since it is larger than the sum of its proper divisors (75483).

142137 is a wasteful number, since it uses less digits than its factorization.

142137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 949 counting only the distinct ones).

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

The square root of 142137 is about 377.0106099303. The cubic root of 142137 is about 52.1878070786.

Adding to 142137 its reverse (731241), we get a palindrome (873378).

The spelling of 142137 in words is "one hundred forty-two thousand, one hundred thirty-seven".