68490135126 has 288 divisors, whose sum is σ = 197810615808. Its totient is φ = 16685222400.

The previous prime is 68490135101. The next prime is 68490135127. The reversal of 68490135126 is 62153109486.

68490135126 is a `hidden beast` number, since 6 + 8 + 490 + 1 + 35 + 126 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68490135127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17783101 + ... + 17786951.

It is an arithmetic number, because the mean of its divisors is an integer number (686842416).

Almost surely, 2^68490135126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68490135126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98905307904).

68490135126 is an abundant number, since it is smaller than the sum of its proper divisors (129320480682).

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

68490135126 is a wasteful number, since it uses less digits than its factorization.

68490135126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3944 (or 3922 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

It can be divided in two parts, 684901 and 35126, that added together give a palindrome (720027).

The spelling of 68490135126 in words is "sixty-eight billion, four hundred ninety million, one hundred thirty-five thousand, one hundred twenty-six".