129435664 has 20 divisors (see below), whose sum is σ = 258872320. Its totient is φ = 62629920.

The previous prime is 129435623. The next prime is 129435689. The reversal of 129435664 is 466534921.

129435664 is an admirable number.

It is a super-2 number, since 2×129435664² = 33507182230241792, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 129984 + ... + 130975.

It is an arithmetic number, because the mean of its divisors is an integer number (12943616).

Almost surely, 2^129435664 is an apocalyptic number.

It is an amenable number.

129435664 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

129435664 is a wasteful number, since it uses less digits than its factorization.

129435664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260998 (or 260992 counting only the distinct ones).

The product of its digits is 155520, while the sum is 40.

The square root of 129435664 is about 11376.9795640143. The cubic root of 129435664 is about 505.8456100187.

The spelling of 129435664 in words is "one hundred twenty-nine million, four hundred thirty-five thousand, six hundred sixty-four".