5137144320 has 960 divisors, whose sum is σ = 22369032576. Its totient is φ = 990904320.

The previous prime is 5137144307. The next prime is 5137144333. The reversal of 5137144320 is 234417315.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5137144307) and next prime (5137144333).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 70371804 + ... + 70371876.

Almost surely, 2^5137144320 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 5137144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11184516288).

5137144320 is an abundant number, since it is smaller than the sum of its proper divisors (17231888256).

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

5137144320 is a wasteful number, since it uses less digits than its factorization.

5137144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 5137144320 is about 71673.8747382894. The cubic root of 5137144320 is about 1725.4693753162.

The spelling of 5137144320 in words is "five billion, one hundred thirty-seven million, one hundred forty-four thousand, three hundred twenty".