13129200 has 180 divisors, whose sum is σ = 52170768. Its totient is φ = 2995200.

The previous prime is 13129111. The next prime is 13129201. The reversal of 13129200 is 292131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13129201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24940 + ... + 25460.

Almost surely, 2^13129200 is an apocalyptic number.

13129200 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 13129200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26085384).

13129200 is an abundant number, since it is smaller than the sum of its proper divisors (39041568).

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

13129200 is a wasteful number, since it uses less digits than its factorization.

13129200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 538 counting only the distinct ones).

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

The square root of 13129200 is about 3623.4237952522. The cubic root of 13129200 is about 235.9098573670.

The spelling of 13129200 in words is "thirteen million, one hundred twenty-nine thousand, two hundred".