129301840 has 80 divisors (see below), whose sum is σ = 318640320. Its totient is φ = 48660480.

The previous prime is 129301829. The next prime is 129301849. The reversal of 129301840 is 48103921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 129301799 and 129301808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129301849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 390475 + ... + 390805.

It is an arithmetic number, because the mean of its divisors is an integer number (3983004).

Almost surely, 2^129301840 is an apocalyptic number.

129301840 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 129301840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159320160).

129301840 is an abundant number, since it is smaller than the sum of its proper divisors (189338480).

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

129301840 is a wasteful number, since it uses less digits than its factorization.

129301840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 129301840 is about 11371.0966929316. The cubic root of 129301840 is about 505.6712180363.

The spelling of 129301840 in words is "one hundred twenty-nine million, three hundred one thousand, eight hundred forty".