129450240 has 216 divisors, whose sum is σ = 474947928. Its totient is φ = 32440320.

The previous prime is 129450239. The next prime is 129450241. The reversal of 129450240 is 42054921.

It is an interprime number because it is at equal distance from previous prime (129450239) and next prime (129450241).

It can be written as a sum of positive squares in 4 ways, for example, as 44515584 + 84934656 = 6672^2 + 9216^2 .

It is not an unprimeable number, because it can be changed into a prime (129450241) 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 23 ways as a sum of consecutive naturals, for example, 195510 + ... + 196170.

It is an arithmetic number, because the mean of its divisors is an integer number (2198833).

Almost surely, 2^129450240 is an apocalyptic number.

129450240 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 129450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237473964).

129450240 is an abundant number, since it is smaller than the sum of its proper divisors (345497688).

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

129450240 is a wasteful number, since it uses less digits than its factorization.

129450240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 129450240 is about 11377.6201377968. The cubic root of 129450240 is about 505.8645973895.

The spelling of 129450240 in words is "one hundred twenty-nine million, four hundred fifty thousand, two hundred forty".