129142067985 has 64 divisors (see below), whose sum is σ = 262444492800. Its totient is φ = 59022737856.

The previous prime is 129142067969. The next prime is 129142067987. The reversal of 129142067985 is 589760241921.

It is a happy number.

129142067985 is a `hidden beast` number, since 1 + 291 + 4 + 206 + 79 + 85 = 666.

It is not a de Polignac number, because 129142067985 - 2⁴ = 129142067969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (129142067987) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4880962 + ... + 4907348.

It is an arithmetic number, because the mean of its divisors is an integer number (4100695200).

Almost surely, 2^129142067985 is an apocalyptic number.

129142067985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

129142067985 is an abundant number, since it is smaller than the sum of its proper divisors (133302424815).

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

129142067985 is a wasteful number, since it uses less digits than its factorization.

129142067985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31587 (or 31581 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 129142067985 in words is "one hundred twenty-nine billion, one hundred forty-two million, sixty-seven thousand, nine hundred eighty-five".