42137248 has 48 divisors (see below), whose sum is σ = 85954176. Its totient is φ = 20321280.

The previous prime is 42137201. The next prime is 42137267. The reversal of 42137248 is 84273124.

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 7 ways as a sum of consecutive naturals, for example, 155353 + ... + 155623.

It is an arithmetic number, because the mean of its divisors is an integer number (1790712).

Almost surely, 2^42137248 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 42137248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42977088).

42137248 is an abundant number, since it is smaller than the sum of its proper divisors (43816928).

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

42137248 is a wasteful number, since it uses less digits than its factorization.

42137248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 429 counting only the distinct ones).

The product of its digits is 10752, while the sum is 31.

The square root of 42137248 is about 6491.3209749634. The cubic root of 42137248 is about 347.9808859013.

The spelling of 42137248 in words is "forty-two million, one hundred thirty-seven thousand, two hundred forty-eight".