6137144832 has 480 divisors, whose sum is σ = 21289137408. Its totient is φ = 1529561088.

The previous prime is 6137144801. The next prime is 6137144833. The reversal of 6137144832 is 2384417316.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6137144833) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73941463 + ... + 73941545.

Almost surely, 2^6137144832 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 6137144832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10644568704).

6137144832 is an abundant number, since it is smaller than the sum of its proper divisors (15151992576).

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

6137144832 is a wasteful number, since it uses less digits than its factorization.

6137144832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 131 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 6137144832 is about 78339.9312739040. The cubic root of 6137144832 is about 1830.8613532969.

The spelling of 6137144832 in words is "six billion, one hundred thirty-seven million, one hundred forty-four thousand, eight hundred thirty-two".