5142496128 has 384 divisors, whose sum is σ = 17442620160. Its totient is φ = 1313832960.

The previous prime is 5142496081. The next prime is 5142496157. The reversal of 5142496128 is 8216942415.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 5142496128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31548975 + ... + 31549137.

It is an arithmetic number, because the mean of its divisors is an integer number (45423490).

Almost surely, 2^5142496128 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 5142496128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8721310080).

5142496128 is an abundant number, since it is smaller than the sum of its proper divisors (12300124032).

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

5142496128 is a wasteful number, since it uses less digits than its factorization.

5142496128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 283 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 5142496128 is about 71711.1994600564. The cubic root of 5142496128 is about 1726.0683576389.

The spelling of 5142496128 in words is "five billion, one hundred forty-two million, four hundred ninety-six thousand, one hundred twenty-eight".