1038150144 has 120 divisors (see below), whose sum is σ = 3077654580. Its totient is φ = 336642048.

The previous prime is 1038150133. The next prime is 1038150187. The reversal of 1038150144 is 4410518301.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1031180544 + 6969600 = 32112^2 + 2640^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167452 + ... + 173540.

Almost surely, 2^1038150144 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 1038150144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538827290).

1038150144 is an abundant number, since it is smaller than the sum of its proper divisors (2039504436).

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

1038150144 is an equidigital number, since it uses as much as digits as its factorization.

1038150144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6150 (or 6131 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1038150144 is about 32220.3374284007. The cubic root of 1038150144 is about 1012.5583425000.

Adding to 1038150144 its reverse (4410518301), we get a palindrome (5448668445).

The spelling of 1038150144 in words is "one billion, thirty-eight million, one hundred fifty thousand, one hundred forty-four".