129165125148 has 192 divisors, whose sum is σ = 346359498240. Its totient is φ = 41607820800.

The previous prime is 129165125143. The next prime is 129165125153. The reversal of 129165125148 is 841521561921.

129165125148 is a `hidden beast` number, since 1 + 2 + 91 + 6 + 512 + 5 + 1 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (129165125143) and next prime (129165125153).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129165125143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 236133411 + ... + 236133957.

It is an arithmetic number, because the mean of its divisors is an integer number (1803955720).

Almost surely, 2^129165125148 is an apocalyptic number.

129165125148 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 129165125148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173179749120).

129165125148 is an abundant number, since it is smaller than the sum of its proper divisors (217194373092).

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

129165125148 is a wasteful number, since it uses less digits than its factorization.

129165125148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1177 counting only the distinct ones).

The product of its digits is 172800, while the sum is 45.

The spelling of 129165125148 in words is "one hundred twenty-nine billion, one hundred sixty-five million, one hundred twenty-five thousand, one hundred forty-eight".