129917952 has 176 divisors, whose sum is σ = 398264320. Its totient is φ = 41803776.

The previous prime is 129917951. The next prime is 129917969. The reversal of 129917952 is 259719921.

It is a junction number, because it is equal to n+sod(n) for n = 129917898 and 129917907.

It is not an unprimeable number, because it can be changed into a prime (129917951) 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, 1022913 + ... + 1023039.

Almost surely, 2^129917952 is an apocalyptic number.

129917952 is a gapful number since it is divisible by the number (12) 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 129917952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199132160).

129917952 is an abundant number, since it is smaller than the sum of its proper divisors (268346368).

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

129917952 is a wasteful number, since it uses less digits than its factorization.

129917952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 169 counting only the distinct ones).

The product of its digits is 102060, while the sum is 45.

The square root of 129917952 is about 11398.1556402779. The cubic root of 129917952 is about 506.4731055033.

The spelling of 129917952 in words is "one hundred twenty-nine million, nine hundred seventeen thousand, nine hundred fifty-two".