5137128 has 64 divisors (see below), whose sum is σ = 15120000. Its totient is φ = 1610496.

The previous prime is 5137127. The next prime is 5137141. The reversal of 5137128 is 8217315.

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 (5137123) 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, 2973 + ... + 4371.

It is an arithmetic number, because the mean of its divisors is an integer number (236250).

Almost surely, 2^5137128 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 5137128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7560000).

5137128 is an abundant number, since it is smaller than the sum of its proper divisors (9982872).

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

5137128 is a wasteful number, since it uses less digits than its factorization.

5137128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431 (or 1421 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 5137128 is about 2266.5233288012. The cubic root of 5137128 is about 172.5467548121.

The spelling of 5137128 in words is "five million, one hundred thirty-seven thousand, one hundred twenty-eight".