42138144 has 72 divisors (see below), whose sum is σ = 124291440. Its totient is φ = 14043456.

The previous prime is 42138137. The next prime is 42138149. The reversal of 42138144 is 44183124.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42138149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5067 + ... + 10485.

It is an arithmetic number, because the mean of its divisors is an integer number (1726270).

Almost surely, 2^42138144 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 42138144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62145720).

42138144 is an abundant number, since it is smaller than the sum of its proper divisors (82153296).

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

42138144 is an equidigital number, since it uses as much as digits as its factorization.

42138144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5444 (or 5424 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 42138144 is about 6491.3899898250. The cubic root of 42138144 is about 347.9833523546.

The spelling of 42138144 in words is "forty-two million, one hundred thirty-eight thousand, one hundred forty-four".