67142400165 has 48 divisors (see below), whose sum is σ = 122718648000. Its totient is φ = 33865537536.

The previous prime is 67142400163. The next prime is 67142400209. The reversal of 67142400165 is 56100424176.

67142400165 is a `hidden beast` number, since 6 + 71 + 424 + 0 + 0 + 165 = 666.

It is not a de Polignac number, because 67142400165 - 2¹ = 67142400163 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67142400163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 425286 + ... + 561384.

It is an arithmetic number, because the mean of its divisors is an integer number (2556638500).

Almost surely, 2^67142400165 is an apocalyptic number.

It is an amenable number.

67142400165 is a deficient number, since it is larger than the sum of its proper divisors (55576247835).

67142400165 is a wasteful number, since it uses less digits than its factorization.

67142400165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136706 (or 136703 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 67142400165 in words is "sixty-seven billion, one hundred forty-two million, four hundred thousand, one hundred sixty-five".