52140 has 48 divisors (see below), whose sum is σ = 161280. Its totient is φ = 12480.

The previous prime is 52127. The next prime is 52147. The reversal of 52140 is 4125.

52140 = T₂₅ + T₂₆ + ... + T₆₈.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (52147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 621 + ... + 699.

It is an arithmetic number, because the mean of its divisors is an integer number (3360).

2⁵²¹⁴⁰ 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 52140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80640).

52140 is an abundant number, since it is smaller than the sum of its proper divisors (109140).

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

52140 is a wasteful number, since it uses less digits than its factorization.

52140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 52140 is about 228.3418489896. The cubic root of 52140 is about 37.3585784467.

Adding to 52140 its reverse (4125), we get a palindrome (56265).

It can be divided in two parts, 521 and 40, that added together give a triangular number (561 = T₃₃).

The spelling of 52140 in words is "fifty-two thousand, one hundred forty".