1125618144 has 192 divisors, whose sum is σ = 3673506816. Its totient is φ = 294395904.

The previous prime is 1125618101. The next prime is 1125618163. The reversal of 1125618144 is 4418165211.

It is a super-2 number, since 2×1125618144² = 2534032412204009472, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 421357 + ... + 424019.

It is an arithmetic number, because the mean of its divisors is an integer number (19132848).

Almost surely, 2^1125618144 is an apocalyptic number.

1125618144 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 1125618144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836753408).

1125618144 is an abundant number, since it is smaller than the sum of its proper divisors (2547888672).

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

1125618144 is a wasteful number, since it uses less digits than its factorization.

1125618144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2737 (or 2729 counting only the distinct ones).

The product of its digits is 7680, while the sum is 33.

The square root of 1125618144 is about 33550.2331437503. The cubic root of 1125618144 is about 1040.2323642532.

The spelling of 1125618144 in words is "one billion, one hundred twenty-five million, six hundred eighteen thousand, one hundred forty-four".