6137126230144 has 256 divisors, whose sum is σ = 15289500038400. Its totient is φ = 2389132247040.

The previous prime is 6137126230127. The next prime is 6137126230159. The reversal of 6137126230144 is 4410326217316.

It is a junction number, because it is equal to n+sod(n) for n = 6137126230097 and 6137126230106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218723764 + ... + 218751820.

It is an arithmetic number, because the mean of its divisors is an integer number (59724609525).

Almost surely, 2^{6137126230144} is an apocalyptic number.

6137126230144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6137126230144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7644750019200).

6137126230144 is an abundant number, since it is smaller than the sum of its proper divisors (9152373808256).

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

6137126230144 is a wasteful number, since it uses less digits than its factorization.

6137126230144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28391 (or 28379 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The spelling of 6137126230144 in words is "six trillion, one hundred thirty-seven billion, one hundred twenty-six million, two hundred thirty thousand, one hundred forty-four".