42150144 has 72 divisors (see below), whose sum is σ = 113908032. Its totient is φ = 13834240.

The previous prime is 42150047. The next prime is 42150149. The reversal of 42150144 is 44105124.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 42150144.

It is not an unprimeable number, because it can be changed into a prime (42150149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54142 + ... + 54914.

It is an arithmetic number, because the mean of its divisors is an integer number (1582056).

Almost surely, 2^42150144 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 42150144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56954016).

42150144 is an abundant number, since it is smaller than the sum of its proper divisors (71757888).

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

42150144 is an equidigital number, since it uses as much as digits as its factorization.

42150144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 42150144 is about 6492.3142252975. The cubic root of 42150144 is about 348.0163818421.

Adding to 42150144 its reverse (44105124), we get a palindrome (86255268).

The spelling of 42150144 in words is "forty-two million, one hundred fifty thousand, one hundred forty-four".