129137106960 has 480 divisors, whose sum is σ = 473592188160. Its totient is φ = 31421509632.

The previous prime is 129137106907. The next prime is 129137106961. The reversal of 129137106960 is 69601731921.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (129137106961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52133242 + ... + 52135718.

It is an arithmetic number, because the mean of its divisors is an integer number (986650392).

Almost surely, 2^129137106960 is an apocalyptic number.

129137106960 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 129137106960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236796094080).

129137106960 is an abundant number, since it is smaller than the sum of its proper divisors (344455081200).

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

129137106960 is a wasteful number, since it uses less digits than its factorization.

129137106960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2655 (or 2646 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 129137106960 in words is "one hundred twenty-nine billion, one hundred thirty-seven million, one hundred six thousand, nine hundred sixty".