5138000 has 80 divisors (see below), whose sum is σ = 14237184. Its totient is φ = 1756800.

The previous prime is 5137987. The next prime is 5138009. The reversal of 5138000 is 8315.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 5138000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5138009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13817 + ... + 14183.

Almost surely, 2^5138000 is an apocalyptic number.

5138000 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 5138000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7118592).

5138000 is an abundant number, since it is smaller than the sum of its proper divisors (9099184).

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

5138000 is a wasteful number, since it uses less digits than its factorization.

5138000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 5138000 is about 2266.7156857445. The cubic root of 5138000 is about 172.5565172227.

The spelling of 5138000 in words is "five million, one hundred thirty-eight thousand".