503150144 has 56 divisors (see below), whose sum is σ = 1144511808. Its totient is φ = 214986240.

The previous prime is 503150117. The next prime is 503150149. The reversal of 503150144 is 441051305.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (503150149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165599 + ... + 168609.

Almost surely, 2^503150144 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 503150144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572255904).

503150144 is an abundant number, since it is smaller than the sum of its proper divisors (641361664).

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

503150144 is a wasteful number, since it uses less digits than its factorization.

503150144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3403 (or 3393 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 503150144 is about 22431.0085372905. The cubic root of 503150144 is about 795.3638849458.

The spelling of 503150144 in words is "five hundred three million, one hundred fifty thousand, one hundred forty-four".