2125134144 has 280 divisors, whose sum is σ = 7259124928. Its totient is φ = 604661760.

The previous prime is 2125134133. The next prime is 2125134149. The reversal of 2125134144 is 4414315212.

2125134144 is a `hidden beast` number, since 2 + 1 + 2 + 513 + 4 + 144 = 666.

It is a super-2 number, since 2×2125134144² = 9032390259989225472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2125134149) 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 39 ways as a sum of consecutive naturals, for example, 8817864 + ... + 8818104.

Almost surely, 2^2125134144 is an apocalyptic number.

2125134144 is a gapful number since it is divisible by the number (24) 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 2125134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3629562464).

2125134144 is an abundant number, since it is smaller than the sum of its proper divisors (5133990784).

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

2125134144 is an frugal number, since it uses more digits than its factorization.

2125134144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 253 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 2125134144 is about 46099.1772594696. The cubic root of 2125134144 is about 1285.6678474656.

Adding to 2125134144 its reverse (4414315212), we get a palindrome (6539449356).

The spelling of 2125134144 in words is "two billion, one hundred twenty-five million, one hundred thirty-four thousand, one hundred forty-four".