57144129 has 32 divisors (see below), whose sum is σ = 91422720. Its totient is φ = 31060800.

The previous prime is 57144049. The next prime is 57144161. The reversal of 57144129 is 92144175.

It is a happy number.

It is not a de Polignac number, because 57144129 - 2¹¹ = 57142081 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 57144129.

It is not an unprimeable number, because it can be changed into a prime (57144929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38992 + ... + 40430.

It is an arithmetic number, because the mean of its divisors is an integer number (2856960).

Almost surely, 2^57144129 is an apocalyptic number.

It is an amenable number.

57144129 is a deficient number, since it is larger than the sum of its proper divisors (34278591).

57144129 is a wasteful number, since it uses less digits than its factorization.

57144129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541.

The product of its digits is 10080, while the sum is 33.

The square root of 57144129 is about 7559.3735851590. The cubic root of 57144129 is about 385.1742147401.

The spelling of 57144129 in words is "fifty-seven million, one hundred forty-four thousand, one hundred twenty-nine".