129585746600 has 48 divisors (see below), whose sum is σ = 302407011900. Its totient is φ = 51641584640.

The previous prime is 129585746599. The next prime is 129585746617. The reversal of 129585746600 is 6647585921.

It can be written as a sum of positive squares in 6 ways, for example, as 26535758404 + 103049988196 = 162898^2 + 321014^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1150529 + ... + 1258128.

Almost surely, 2^129585746600 is an apocalyptic number.

129585746600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

129585746600 is an abundant number, since it is smaller than the sum of its proper divisors (172821265300).

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

129585746600 is a wasteful number, since it uses less digits than its factorization.

129585746600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408942 (or 2408933 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 53.

The spelling of 129585746600 in words is "one hundred twenty-nine billion, five hundred eighty-five million, seven hundred forty-six thousand, six hundred".