129248640 has 192 divisors, whose sum is σ = 470199600. Its totient is φ = 32624640.

The previous prime is 129248629. The next prime is 129248653. The reversal of 129248640 is 46842921.

129248640 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 4 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 129248595 and 129248604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108850 + ... + 110030.

Almost surely, 2^129248640 is an apocalyptic number.

129248640 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 129248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235099800).

129248640 is an abundant number, since it is smaller than the sum of its proper divisors (340950960).

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

129248640 is a wasteful number, since it uses less digits than its factorization.

129248640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1210 counting only the distinct ones).

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

The square root of 129248640 is about 11368.7571880131. The cubic root of 129248640 is about 505.6018573344.

The spelling of 129248640 in words is "one hundred twenty-nine million, two hundred forty-eight thousand, six hundred forty".