5142000 has 80 divisors (see below), whose sum is σ = 16597152. Its totient is φ = 1369600.

The previous prime is 5141999. The next prime is 5142013. The reversal of 5142000 is 2415.

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

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5572 + ... + 6428.

Almost surely, 2^5142000 is an apocalyptic number.

5142000 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 5142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8298576).

5142000 is an abundant number, since it is smaller than the sum of its proper divisors (11455152).

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

5142000 is a wasteful number, since it uses less digits than its factorization.

5142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 5142000 is about 2267.5978479439. The cubic root of 5142000 is about 172.6012847736.

Adding to 5142000 its reverse (2415), we get a palindrome (5144415).

The spelling of 5142000 in words is "five million, one hundred forty-two thousand".