129301952 has 112 divisors (see below), whose sum is σ = 299557440. Its totient is φ = 54878208.

The previous prime is 129301951. The next prime is 129301957. The reversal of 129301952 is 259103921.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129301951) 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, 554828 + ... + 555060.

It is an arithmetic number, because the mean of its divisors is an integer number (2674620).

Almost surely, 2^129301952 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 129301952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149778720).

129301952 is an abundant number, since it is smaller than the sum of its proper divisors (170255488).

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

129301952 is a wasteful number, since it uses less digits than its factorization.

129301952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 32.

The square root of 129301952 is about 11371.1016176974. The cubic root of 129301952 is about 505.6713640387.

The spelling of 129301952 in words is "one hundred twenty-nine million, three hundred one thousand, nine hundred fifty-two".