1003146144 has 432 divisors, whose sum is σ = 3630989376. Its totient is φ = 237219840.

The previous prime is 1003146119. The next prime is 1003146167. The reversal of 1003146144 is 4416413001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13741692 + ... + 13741764.

It is an arithmetic number, because the mean of its divisors is an integer number (8405068).

Almost surely, 2^1003146144 is an apocalyptic number.

1003146144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003146144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815494688).

1003146144 is an abundant number, since it is smaller than the sum of its proper divisors (2627843232).

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

1003146144 is a wasteful number, since it uses less digits than its factorization.

1003146144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1003146144 is about 31672.4824413875. The cubic root of 1003146144 is about 1001.0476167825.

Adding to 1003146144 its reverse (4416413001), we get a palindrome (5419559145).

The spelling of 1003146144 in words is "one billion, three million, one hundred forty-six thousand, one hundred forty-four".