126908113130240 has 576 divisors, whose sum is σ = 337971364980480. Its totient is φ = 45354681630720.

The previous prime is 126908113130143. The next prime is 126908113130261. The reversal of 126908113130240 is 42031311809621.

It is a super-2 number, since 2×126908113130240² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166764931460 + ... + 166764932220.

It is an arithmetic number, because the mean of its divisors is an integer number (586755841980).

Almost surely, 2^{126908113130240} is an apocalyptic number.

126908113130240 is a gapful number since it is divisible by the number (10) 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 126908113130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168985682490240).

126908113130240 is an abundant number, since it is smaller than the sum of its proper divisors (211063251850240).

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

126908113130240 is a wasteful number, since it uses less digits than its factorization.

126908113130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1888 (or 1874 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

Adding to 126908113130240 its reverse (42031311809621), we get a palindrome (168939424939861).

The spelling of 126908113130240 in words is "one hundred twenty-six trillion, nine hundred eight billion, one hundred thirteen million, one hundred thirty thousand, two hundred forty".