5142332000 has 144 divisors (see below), whose sum is σ = 13683170592. Its totient is φ = 1898457600.

The previous prime is 5142331991. The next prime is 5142332003. The reversal of 5142332000 is 2332415.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5142332003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 672197 + ... + 679803.

It is an arithmetic number, because the mean of its divisors is an integer number (95022018).

Almost surely, 2^5142332000 is an apocalyptic number.

5142332000 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 5142332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6841585296).

5142332000 is an abundant number, since it is smaller than the sum of its proper divisors (8540838592).

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

5142332000 is a wasteful number, since it uses less digits than its factorization.

5142332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7658 (or 7627 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 5142332000 is about 71710.0550829519. The cubic root of 5142332000 is about 1726.0499943671.

Adding to 5142332000 its reverse (2332415), we get a palindrome (5144664415).

The spelling of 5142332000 in words is "five billion, one hundred forty-two million, three hundred thirty-two thousand".