4137129 has 16 divisors (see below), whose sum is σ = 6216000. Its totient is φ = 2719008.

The previous prime is 4137121. The next prime is 4137149. The reversal of 4137129 is 9217314.

4137129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4137129 - 2³ = 4137121 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (4137121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 922 + ... + 3020.

It is an arithmetic number, because the mean of its divisors is an integer number (388500).

Almost surely, 2^4137129 is an apocalyptic number.

It is an amenable number.

4137129 is a deficient number, since it is larger than the sum of its proper divisors (2078871).

4137129 is a wasteful number, since it uses less digits than its factorization.

4137129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181 (or 2175 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 4137129 is about 2033.9933628210. The cubic root of 4137129 is about 160.5337513088.

Adding to 4137129 its sum of digits (27), we get a square (4137156 = 2034²).

The spelling of 4137129 in words is "four million, one hundred thirty-seven thousand, one hundred twenty-nine".