5142120 has 64 divisors (see below), whose sum is σ = 15664320. Its totient is φ = 1350144.

The previous prime is 5142119. The next prime is 5142121. The reversal of 5142120 is 212415.

It is an interprime number because it is at equal distance from previous prime (5142119) and next prime (5142121).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 5142120.

It is not an unprimeable number, because it can be changed into a prime (5142121) 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, 8467 + ... + 9053.

It is an arithmetic number, because the mean of its divisors is an integer number (244755).

Almost surely, 2^5142120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5142120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7832160).

5142120 is an abundant number, since it is smaller than the sum of its proper divisors (10522200).

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

5142120 is a wasteful number, since it uses less digits than its factorization.

5142120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 5142120 is about 2267.6243075077. The cubic root of 5142120 is about 172.6026274414.

Adding to 5142120 its reverse (212415), we get a palindrome (5354535).

The spelling of 5142120 in words is "five million, one hundred forty-two thousand, one hundred twenty".