68135094729 has 135 divisors (see below), whose sum is σ = 116413966053. Its totient is φ = 39692809728.

The previous prime is 68135094697. The next prime is 68135094791. The reversal of 68135094729 is 92749053186.

The square root of 68135094729 is 261027.

It is a perfect power (a square), and thus also a powerful number.

68135094729 is a `hidden beast` number, since 68 + 1 + 3 + 509 + 4 + 72 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12448534329 + 55686560400 = 111573^2 + 235980^2 .

It is not a de Polignac number, because 68135094729 - 2⁵ = 68135094697 is a prime.

It is a super-2 number, since 2×68135094729² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (68135094829) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 702423609 + ... + 702423705.

It is a 2-persistent number, because it is pandigital, and so is 2⋅68135094729 = 136270189458, but 3⋅68135094729 = 204405284187 is not.

Almost surely, 2^68135094729 is an apocalyptic number.

68135094729 is a gapful number since it is divisible by the number (69) formed by its first and last digit.

68135094729 is the 261027-th square number.

68135094729 is the 130514-th centered octagonal number.

It is an amenable number.

68135094729 is a deficient number, since it is larger than the sum of its proper divisors (48278871324).

68135094729 is an equidigital number, since it uses as much as digits as its factorization.

68135094729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 68135094729 in words is "sixty-eight billion, one hundred thirty-five million, ninety-four thousand, seven hundred twenty-nine".