51144 has 16 divisors (see below), whose sum is σ = 127920. Its totient is φ = 17040.

The previous prime is 51137. The next prime is 51151. The reversal of 51144 is 44115.

51144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51137) and next prime (51151).

It is a super-3 number, since 3×51144³ = 401333422781952, which contains 333 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 51144.

It is an unprimeable number.

51144 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1042 + ... + 1089.

It is an arithmetic number, because the mean of its divisors is an integer number (7995).

2⁵¹¹⁴⁴ is an apocalyptic number.

It is an amenable number.

51144 is an abundant number, since it is smaller than the sum of its proper divisors (76776).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63960).

51144 is a wasteful number, since it uses less digits than its factorization.

51144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140 (or 2136 counting only the distinct ones).

The product of its digits is 80, while the sum is 15.

The square root of 51144 is about 226.1503924383. The cubic root of 51144 is about 37.1191677628.

Adding to 51144 its reverse (44115), we get a palindrome (95259).

It can be divided in two parts, 511 and 44, that added together give a palindrome (555).

The spelling of 51144 in words is "fifty-one thousand, one hundred forty-four".