129906288 has 80 divisors (see below), whose sum is σ = 377475840. Its totient is φ = 42768576.

The previous prime is 129906263. The next prime is 129906313. The reversal of 129906288 is 882609921.

129906288 is a `hidden beast` number, since 12 + 9 + 9 + 0 + 628 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (129906263) and next prime (129906313).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34045 + ... + 37667.

It is an arithmetic number, because the mean of its divisors is an integer number (4718448).

Almost surely, 2^129906288 is an apocalyptic number.

129906288 is a gapful number since it is divisible by the number (18) 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 129906288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188737920).

129906288 is an abundant number, since it is smaller than the sum of its proper divisors (247569552).

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

129906288 is a wasteful number, since it uses less digits than its factorization.

129906288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3723 (or 3711 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 129906288 is about 11397.6439670662. The cubic root of 129906288 is about 506.4579480417.

The spelling of 129906288 in words is "one hundred twenty-nine million, nine hundred six thousand, two hundred eighty-eight".