129464064 has 108 divisors (see below), whose sum is σ = 378332136. Its totient is φ = 42571776.

The previous prime is 129464059. The next prime is 129464087. The reversal of 129464064 is 460464921.

129464064 is a `hidden beast` number, since 1 + 2 + 9 + 4 + 640 + 6 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 190894 + ... + 191570.

Almost surely, 2^129464064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129464064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189166068).

129464064 is an abundant number, since it is smaller than the sum of its proper divisors (248868072).

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

129464064 is an equidigital number, since it uses as much as digits as its factorization.

129464064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 129464064 is about 11378.2276299958. The cubic root of 129464064 is about 505.8826038536.

The spelling of 129464064 in words is "one hundred twenty-nine million, four hundred sixty-four thousand, sixty-four".