129036768 has 96 divisors (see below), whose sum is σ = 394523136. Its totient is φ = 36162048.

The previous prime is 129036767. The next prime is 129036811. The reversal of 129036768 is 867630921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129036767) 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, 33805 + ... + 37427.

It is an arithmetic number, because the mean of its divisors is an integer number (4109616).

Almost surely, 2^129036768 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 129036768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197261568).

129036768 is an abundant number, since it is smaller than the sum of its proper divisors (265486368).

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

129036768 is a wasteful number, since it uses less digits than its factorization.

129036768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3696 (or 3688 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 129036768 is about 11359.4351972270. The cubic root of 129036768 is about 505.3254354339.

The spelling of 129036768 in words is "one hundred twenty-nine million, thirty-six thousand, seven hundred sixty-eight".