5148000 has 288 divisors, whose sum is σ = 21464352. Its totient is φ = 1152000.

The previous prime is 5147981. The next prime is 5148007. The reversal of 5148000 is 8415.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 250 × 234 × 88.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5148007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 395994 + ... + 396006.

It is an arithmetic number, because the mean of its divisors is an integer number (74529).

Almost surely, 2^5148000 is an apocalyptic number.

5148000 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 5148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10732176).

5148000 is an abundant number, since it is smaller than the sum of its proper divisors (16316352).

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

5148000 is a wasteful number, since it uses less digits than its factorization.

5148000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 5148000 is about 2268.9204481427. The cubic root of 5148000 is about 172.6683925894.

The spelling of 5148000 in words is "five million, one hundred forty-eight thousand".