57148128 has 144 divisors (see below), whose sum is σ = 173287296. Its totient is φ = 17832960.

The previous prime is 57148127. The next prime is 57148129. The reversal of 57148128 is 82184175.

57148128 is a `hidden beast` number, since 571 + 4 + 81 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (57148127) and next prime (57148129).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 57148092 and 57148101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57148121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 330250 + ... + 330422.

It is an arithmetic number, because the mean of its divisors is an integer number (1203384).

Almost surely, 2^57148128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57148128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86643648).

57148128 is an abundant number, since it is smaller than the sum of its proper divisors (116139168).

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

57148128 is a wasteful number, since it uses less digits than its factorization.

57148128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 246 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 57148128 is about 7559.6380865753. The cubic root of 57148128 is about 385.1831994821.

The spelling of 57148128 in words is "fifty-seven million, one hundred forty-eight thousand, one hundred twenty-eight".