54138000 has 160 divisors (see below), whose sum is σ = 199630080. Its totient is φ = 12364800.

The previous prime is 54137969. The next prime is 54138001. The reversal of 54138000 is 83145.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (54138001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41356 + ... + 42644.

It is an arithmetic number, because the mean of its divisors is an integer number (1247688).

Almost surely, 2^54138000 is an apocalyptic number.

54138000 is a gapful number since it is divisible by the number (50) 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 54138000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99815040).

54138000 is an abundant number, since it is smaller than the sum of its proper divisors (145492080).

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

54138000 is a wasteful number, since it uses less digits than its factorization.

54138000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1306 counting only the distinct ones).

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

The square root of 54138000 is about 7357.8529477015. The cubic root of 54138000 is about 378.2980209020.

The spelling of 54138000 in words is "fifty-four million, one hundred thirty-eight thousand".