42138124 has 48 divisors (see below), whose sum is σ = 89689600. Its totient is φ = 16920576.

The previous prime is 42138113. The next prime is 42138133. The reversal of 42138124 is 42183124.

It is an unprimeable number.

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, 54412 + ... + 55180.

Almost surely, 2^42138124 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 42138124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44844800).

42138124 is an abundant number, since it is smaller than the sum of its proper divisors (47551476).

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

42138124 is a wasteful number, since it uses less digits than its factorization.

42138124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 900 counting only the distinct ones).

The product of its digits is 1536, while the sum is 25.

The square root of 42138124 is about 6491.3884493227. The cubic root of 42138124 is about 347.9832973003.

The spelling of 42138124 in words is "forty-two million, one hundred thirty-eight thousand, one hundred twenty-four".