53148 has 24 divisors (see below), whose sum is σ = 128128. Its totient is φ = 17136.

The previous prime is 53147. The next prime is 53149. The reversal of 53148 is 84135.

It is an interprime number because it is at equal distance from previous prime (53147) and next prime (53149).

It is a super-3 number, since 3×53148³ = 450383045933376, which contains 333 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 53148.

It is not an unprimeable number, because it can be changed into a prime (53147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 465 + ... + 567.

2⁵³¹⁴⁸ is an apocalyptic number.

It is an amenable number.

53148 is an abundant number, since it is smaller than the sum of its proper divisors (74980).

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 (64064).

53148 is a wasteful number, since it uses less digits than its factorization.

53148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 151 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 53148 is about 230.5385000385. The cubic root of 53148 is about 37.5977892166.

Adding to 53148 its product of digits (480), we get a triangular number (53628 = T₃₂₇).

The spelling of 53148 in words is "fifty-three thousand, one hundred forty-eight".