6137066130 has 256 divisors, whose sum is σ = 17701286400. Its totient is φ = 1347010560.

The previous prime is 6137066119. The next prime is 6137066171. The reversal of 6137066130 is 316607316.

It is a junction number, because it is equal to n+sod(n) for n = 6137066091 and 6137066100.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11343660 + ... + 11344200.

It is an arithmetic number, because the mean of its divisors is an integer number (69145650).

Almost surely, 2^6137066130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6137066130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8850643200).

6137066130 is an abundant number, since it is smaller than the sum of its proper divisors (11564220270).

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

6137066130 is a wasteful number, since it uses less digits than its factorization.

6137066130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669.

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 6137066130 is about 78339.4289614113. The cubic root of 6137066130 is about 1830.8535270156.

The spelling of 6137066130 in words is "six billion, one hundred thirty-seven million, sixty-six thousand, one hundred thirty".