54002124 has 144 divisors (see below), whose sum is σ = 158505984. Its totient is φ = 15350400.

The previous prime is 54002111. The next prime is 54002153. The reversal of 54002124 is 42120045.

54002124 is a `hidden beast` number, since 540 + 0 + 2 + 124 = 666.

It is a super-2 number, since 2×54002124² = 5832458793022752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 54002097 and 54002106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 650587 + ... + 650669.

It is an arithmetic number, because the mean of its divisors is an integer number (1100736).

Almost surely, 2^54002124 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 54002124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79252992).

54002124 is an abundant number, since it is smaller than the sum of its proper divisors (104503860).

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

54002124 is a wasteful number, since it uses less digits than its factorization.

54002124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 54002124 is about 7348.6137468233. The cubic root of 54002124 is about 377.9812705930.

Adding to 54002124 its reverse (42120045), we get a palindrome (96122169).

It can be divided in two parts, 540021 and 24, that added together give a palindrome (540045).

The spelling of 54002124 in words is "fifty-four million, two thousand, one hundred twenty-four".