52182144 has 160 divisors (see below), whose sum is σ = 177724800. Its totient is φ = 14888448.

The previous prime is 52182133. The next prime is 52182167. The reversal of 52182144 is 44128125.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72217 + ... + 72935.

It is an arithmetic number, because the mean of its divisors is an integer number (1110780).

Almost surely, 2^52182144 is an apocalyptic number.

52182144 is a gapful number since it is divisible by the number (54) 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 52182144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88862400).

52182144 is an abundant number, since it is smaller than the sum of its proper divisors (125542656).

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

52182144 is an equidigital number, since it uses as much as digits as its factorization.

52182144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 731 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 52182144 is about 7223.7209248420. The cubic root of 52182144 is about 373.6864120036.

It can be divided in two parts, 52182 and 144, that added together give a triangular number (52326 = T₃₂₃).

The spelling of 52182144 in words is "fifty-two million, one hundred eighty-two thousand, one hundred forty-four".