129631200 has 72 divisors (see below), whose sum is σ = 421957368. Its totient is φ = 34567680.

The previous prime is 129631199. The next prime is 129631207. The reversal of 129631200 is 2136921.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129631207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24607 + ... + 29406.

It is an arithmetic number, because the mean of its divisors is an integer number (5860519).

Almost surely, 2^129631200 is an apocalyptic number.

129631200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

129631200 is an abundant number, since it is smaller than the sum of its proper divisors (292326168).

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

129631200 is a wasteful number, since it uses less digits than its factorization.

129631200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54036 (or 54023 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 129631200 is about 11385.5698144625. The cubic root of 129631200 is about 506.1002056436.

The spelling of 129631200 in words is "one hundred twenty-nine million, six hundred thirty-one thousand, two hundred".