51234144 has 96 divisors (see below), whose sum is σ = 147428064. Its totient is φ = 15482880.

The previous prime is 51234121. The next prime is 51234151. The reversal of 51234144 is 44143215.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×51234144² = 5249875022825472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 75792 + ... + 76464.

It is an arithmetic number, because the mean of its divisors is an integer number (1535709).

Almost surely, 2^51234144 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 51234144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73714032).

51234144 is an abundant number, since it is smaller than the sum of its proper divisors (96193920).

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

51234144 is a wasteful number, since it uses less digits than its factorization.

51234144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 752 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 51234144 is about 7157.8030148922. The cubic root of 51234144 is about 371.4096312686.

Adding to 51234144 its reverse (44143215), we get a palindrome (95377359).

The spelling of 51234144 in words is "fifty-one million, two hundred thirty-four thousand, one hundred forty-four".