53144000 has 224 divisors, whose sum is σ = 164201856. Its totient is φ = 16588800.

The previous prime is 53143973. The next prime is 53144017. The reversal of 53144000 is 44135.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 53144000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 727964 + ... + 728036.

It is an arithmetic number, because the mean of its divisors is an integer number (733044).

Almost surely, 2^53144000 is an apocalyptic number.

53144000 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 53144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82100928).

53144000 is an abundant number, since it is smaller than the sum of its proper divisors (111057856).

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

53144000 is a wasteful number, since it uses less digits than its factorization.

53144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 53144000 is about 7289.9931412862. The cubic root of 53144000 is about 375.9684597053.

Adding to 53144000 its reverse (44135), we get a palindrome (53188135).

The spelling of 53144000 in words is "fifty-three million, one hundred forty-four thousand".