129864240 has 240 divisors, whose sum is σ = 501396480. Its totient is φ = 29790720.

The previous prime is 129864227. The next prime is 129864247. The reversal of 129864240 is 42468921.

129864240 is a `hidden beast` number, since 1 + 2 + 9 + 8 + 642 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 129864195 and 129864204.

It is not an unprimeable number, because it can be changed into a prime (129864247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150049 + ... + 150911.

It is an arithmetic number, because the mean of its divisors is an integer number (2089152).

Almost surely, 2^129864240 is an apocalyptic number.

129864240 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 129864240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250698240).

129864240 is an abundant number, since it is smaller than the sum of its proper divisors (371532240).

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

129864240 is a wasteful number, since it uses less digits than its factorization.

129864240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 129864240 is about 11395.7992260306. The cubic root of 129864240 is about 506.4032987963.

The spelling of 129864240 in words is "one hundred twenty-nine million, eight hundred sixty-four thousand, two hundred forty".