129610845 has 96 divisors (see below), whose sum is σ = 285702144. Its totient is φ = 52876800.

The previous prime is 129610823. The next prime is 129610849. The reversal of 129610845 is 548016921.

It is not a de Polignac number, because 129610845 - 2⁵ = 129610813 is a prime.

It is a super-2 number, since 2×129610845² = 33597942283228050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129610849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 126435 + ... + 127455.

It is an arithmetic number, because the mean of its divisors is an integer number (2976064).

Almost surely, 2^129610845 is an apocalyptic number.

129610845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

129610845 is an abundant number, since it is smaller than the sum of its proper divisors (156091299).

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

129610845 is a wasteful number, since it uses less digits than its factorization.

129610845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 129610845 is about 11384.6758847145. The cubic root of 129610845 is about 506.0737145701.

The spelling of 129610845 in words is "one hundred twenty-nine million, six hundred ten thousand, eight hundred forty-five".