54138336 has 144 divisors (see below), whose sum is σ = 175298256. Its totient is φ = 14536704.

The previous prime is 54138317. The next prime is 54138361. The reversal of 54138336 is 63383145.

It is a junction number, because it is equal to n+sod(n) for n = 54138297 and 54138306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79630 + ... + 80306.

It is an arithmetic number, because the mean of its divisors is an integer number (1217349).

Almost surely, 2^54138336 is an apocalyptic number.

54138336 is a gapful number since it is divisible by the number (56) 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 54138336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87649128).

54138336 is an abundant number, since it is smaller than the sum of its proper divisors (121159920).

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

54138336 is a wasteful number, since it uses less digits than its factorization.

54138336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 706 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 54138336 is about 7357.8757804138. The cubic root of 54138336 is about 378.2988035184.

The spelling of 54138336 in words is "fifty-four million, one hundred thirty-eight thousand, three hundred thirty-six".