1504742144 has 72 divisors (see below), whose sum is σ = 3076448928. Its totient is φ = 734330880.

The previous prime is 1504742143. The next prime is 1504742147. The reversal of 1504742144 is 4412474051.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1504742144.

It is not an unprimeable number, because it can be changed into a prime (1504742143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2607584 + ... + 2608160.

Almost surely, 2^1504742144 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 1504742144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538224464).

1504742144 is an abundant number, since it is smaller than the sum of its proper divisors (1571706784).

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

1504742144 is an equidigital number, since it uses as much as digits as its factorization.

1504742144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

The square root of 1504742144 is about 38791.0059678787. The cubic root of 1504742144 is about 1145.9192846205.

The spelling of 1504742144 in words is "one billion, five hundred four million, seven hundred forty-two thousand, one hundred forty-four".