42138108 has 72 divisors (see below), whose sum is σ = 110318208. Its totient is φ = 13553568.

The previous prime is 42138097. The next prime is 42138113. The reversal of 42138108 is 80183124.

42138108 = 417² + 418² + ... + 583².

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252241 + ... + 252407.

Almost surely, 2^42138108 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 42138108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55159104).

42138108 is an abundant number, since it is smaller than the sum of its proper divisors (68180100).

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

42138108 is a wasteful number, since it uses less digits than its factorization.

42138108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 42138108 is about 6491.3872169206. The cubic root of 42138108 is about 347.9832532567.

It can be divided in two parts, 4213 and 8108, that added together give a palindrome (12321).

The spelling of 42138108 in words is "forty-two million, one hundred thirty-eight thousand, one hundred eight".