130129200 has 120 divisors (see below), whose sum is σ = 463202000. Its totient is φ = 34698240.

The previous prime is 130129189. The next prime is 130129213. The reversal of 130129200 is 2921031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4776 + ... + 16824.

Almost surely, 2^130129200 is an apocalyptic number.

130129200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130129200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231601000).

130129200 is an abundant number, since it is smaller than the sum of its proper divisors (333072800).

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

130129200 is a wasteful number, since it uses less digits than its factorization.

130129200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12076 (or 12059 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 130129200 is about 11407.4186387631. The cubic root of 130129200 is about 506.7474671075.

The spelling of 130129200 in words is "one hundred thirty million, one hundred twenty-nine thousand, two hundred".