129764040 has 128 divisors (see below), whose sum is σ = 447448320. Its totient is φ = 29491200.

The previous prime is 129764029. The next prime is 129764083. The reversal of 129764040 is 40467921.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 129763992 and 129764010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202120 + ... + 202760.

It is an arithmetic number, because the mean of its divisors is an integer number (3495690).

Almost surely, 2^129764040 is an apocalyptic number.

129764040 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 129764040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223724160).

129764040 is an abundant number, since it is smaller than the sum of its proper divisors (317684280).

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

129764040 is a wasteful number, since it uses less digits than its factorization.

129764040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 129764040 is about 11391.4020208225. The cubic root of 129764040 is about 506.2730225774.

The spelling of 129764040 in words is "one hundred twenty-nine million, seven hundred sixty-four thousand, forty".