142126137 has 64 divisors (see below), whose sum is σ = 240768000. Its totient is φ = 82301184.

The previous prime is 142126133. The next prime is 142126141. The reversal of 142126137 is 731621241.

142126137 is a `hidden beast` number, since 1 + 42 + 1 + 2 + 613 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (142126133) and next prime (142126141).

It is not a de Polignac number, because 142126137 - 2² = 142126133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 142126137.

It is not an unprimeable number, because it can be changed into a prime (142126133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 374814 + ... + 375192.

It is an arithmetic number, because the mean of its divisors is an integer number (3762000).

Almost surely, 2^142126137 is an apocalyptic number.

142126137 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

142126137 is a deficient number, since it is larger than the sum of its proper divisors (98641863).

142126137 is a wasteful number, since it uses less digits than its factorization.

142126137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 461 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 142126137 is about 11921.6667039471. Note that the first 3 decimals coincide. The cubic root of 142126137 is about 521.8647753838.

Adding to 142126137 its reverse (731621241), we get a palindrome (873747378).

The spelling of 142126137 in words is "one hundred forty-two million, one hundred twenty-six thousand, one hundred thirty-seven".