129049600 has 99 divisors (see below), whose sum is σ = 324455641. Its totient is φ = 50892800.

The previous prime is 129049553. The next prime is 129049603. The reversal of 129049600 is 6940921.

It is a happy number.

The square root of 129049600 is 11360.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 46457856 + 82591744 = 6816^2 + 9088^2 .

It is a Duffinian number.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (129049603) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1817565 + ... + 1817635.

Almost surely, 2^129049600 is an apocalyptic number.

129049600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

129049600 is the 11360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129049600

129049600 is an abundant number, since it is smaller than the sum of its proper divisors (195406041).

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

129049600 is an frugal number, since it uses more digits than its factorization.

129049600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The cubic root of 129049600 is about 505.3421854945.

The spelling of 129049600 in words is "one hundred twenty-nine million, forty-nine thousand, six hundred".