6137000000 has 294 divisors, whose sum is σ = 17010836946. Its totient is φ = 2188800000.

The previous prime is 6136999993. The next prime is 6137000003. The reversal of 6137000000 is 7316.

It can be written as a sum of positive squares in 7 ways, for example, as 6056574976 + 80425024 = 77824^2 + 8968^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (6137000003) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 322999991 + ... + 323000009.

Almost surely, 2^6137000000 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 6137000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8505418473).

6137000000 is an abundant number, since it is smaller than the sum of its proper divisors (10873836946).

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

6137000000 is an frugal number, since it uses more digits than its factorization.

6137000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 6137000000 is about 78339.0068867356. The cubic root of 6137000000 is about 1830.8469508668.

Multiplying 6137000000 by its sum of digits (17), we get a square (104329000000 = 323000²).

6137000000 divided by its sum of digits (17) gives a square (361000000 = 19000²).

Adding to 6137000000 its reverse (7316), we get a palindrome (6137007316).

The spelling of 6137000000 in words is "six billion, one hundred thirty-seven million", and thus it is an aban number.