129813600 has 144 divisors (see below), whose sum is σ = 482969088. Its totient is φ = 29667840.

The previous prime is 129813571. The next prime is 129813601. The reversal of 129813600 is 6318921.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129813601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12937 + ... + 20663.

It is an arithmetic number, because the mean of its divisors is an integer number (3353952).

Almost surely, 2^129813600 is an apocalyptic number.

129813600 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 129813600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241484544).

129813600 is an abundant number, since it is smaller than the sum of its proper divisors (353155488).

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

129813600 is a wasteful number, since it uses less digits than its factorization.

129813600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7757 (or 7744 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 129813600 is about 11393.5771380195. The cubic root of 129813600 is about 506.3374669782.

The spelling of 129813600 in words is "one hundred twenty-nine million, eight hundred thirteen thousand, six hundred".