1124054144 has 64 divisors (see below), whose sum is σ = 2378519640. Its totient is φ = 527302656.

The previous prime is 1124054131. The next prime is 1124054147. The reversal of 1124054144 is 4414504211.

It can be written as a sum of positive squares in 4 ways, for example, as 902401600 + 221652544 = 30040^2 + 14888^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1124054147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 941612 + ... + 942804.

Almost surely, 2^1124054144 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 1124054144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189259820).

1124054144 is an abundant number, since it is smaller than the sum of its proper divisors (1254465496).

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

1124054144 is a wasteful number, since it uses less digits than its factorization.

1124054144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 1124054144 is about 33526.9167088177. The cubic root of 1124054144 is about 1039.7503542800.

Adding to 1124054144 its reverse (4414504211), we get a palindrome (5538558355).

The spelling of 1124054144 in words is "one billion, one hundred twenty-four million, fifty-four thousand, one hundred forty-four".