129540768 has 96 divisors (see below), whose sum is σ = 397748736. Its totient is φ = 36142848.

The previous prime is 129540757. The next prime is 129540769. The reversal of 129540768 is 867045921.

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

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

It is not an unprimeable number, because it can be changed into a prime (129540769) 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, 26655 + ... + 31137.

It is an arithmetic number, because the mean of its divisors is an integer number (4143216).

Almost surely, 2^129540768 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 129540768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198874368).

129540768 is an abundant number, since it is smaller than the sum of its proper divisors (268207968).

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

129540768 is a wasteful number, since it uses less digits than its factorization.

129540768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4546 (or 4538 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 129540768 is about 11381.5977788709. The cubic root of 129540768 is about 505.9824914396.

The spelling of 129540768 in words is "one hundred twenty-nine million, five hundred forty thousand, seven hundred sixty-eight".