51144000 has 112 divisors (see below), whose sum is σ = 168956736. Its totient is φ = 13632000.

The previous prime is 51143987. The next prime is 51144013. The reversal of 51144000 is 44115.

It is an interprime number because it is at equal distance from previous prime (51143987) and next prime (51144013).

It is a super-3 number, since 3×51144000³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22935 + ... + 25065.

Almost surely, 2^51144000 is an apocalyptic number.

51144000 is a gapful number since it is divisible by the number (50) 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 51144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84478368).

51144000 is an abundant number, since it is smaller than the sum of its proper divisors (117812736).

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

51144000 is a wasteful number, since it uses less digits than its factorization.

51144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161 (or 2141 counting only the distinct ones).

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

The square root of 51144000 is about 7151.5033384597. The cubic root of 51144000 is about 371.1916776275.

Adding to 51144000 its reverse (44115), we get a palindrome (51188115).

The spelling of 51144000 in words is "fifty-one million, one hundred forty-four thousand".