129066240 has 288 divisors, whose sum is σ = 456220800. Its totient is φ = 30965760.

The previous prime is 129066239. The next prime is 129066253. The reversal of 129066240 is 42660921.

129066240 = T₅₃₅₁ + T₅₃₅₂ + ... + T₅₃₅₉.

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

It is a junction number, because it is equal to n+sod(n) for n = 129066198 and 129066207.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2115810 + ... + 2115870.

It is an arithmetic number, because the mean of its divisors is an integer number (1584100).

Almost surely, 2^129066240 is an apocalyptic number.

129066240 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 129066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228110400).

129066240 is an abundant number, since it is smaller than the sum of its proper divisors (327154560).

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

129066240 is a wasteful number, since it uses less digits than its factorization.

129066240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 129066240 is about 11360.7323707585. The cubic root of 129066240 is about 505.3639046179.

The spelling of 129066240 in words is "one hundred twenty-nine million, sixty-six thousand, two hundred forty".