129344400 has 360 divisors, whose sum is σ = 495722240. Its totient is φ = 31104000.

The previous prime is 129344399. The next prime is 129344401. The reversal of 129344400 is 4443921.

It is an interprime number because it is at equal distance from previous prime (129344399) and next prime (129344401).

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×129344400² = 33459947622720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (129344401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2120370 + ... + 2120430.

Almost surely, 2^129344400 is an apocalyptic number.

129344400 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 129344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247861120).

129344400 is an abundant number, since it is smaller than the sum of its proper divisors (366377840).

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

129344400 is a wasteful number, since it uses less digits than its factorization.

129344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 129344400 is about 11372.9679503637. The cubic root of 129344400 is about 505.7266929009.

It can be divided in two parts, 12 and 9344400, that multiplied together give a triangular number (112132800 = T₁₄₉₇₅).

The spelling of 129344400 in words is "one hundred twenty-nine million, three hundred forty-four thousand, four hundred".