129161376 has 288 divisors, whose sum is σ = 430230528. Its totient is φ = 36495360.

The previous prime is 129161317. The next prime is 129161401. The reversal of 129161376 is 673161921.

129161376 is a `hidden beast` number, since 129 + 161 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×129161376² = 33365322100426752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 129161376.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3490830 + ... + 3490866.

It is an arithmetic number, because the mean of its divisors is an integer number (1493856).

Almost surely, 2^129161376 is an apocalyptic number.

129161376 is a gapful number since it is divisible by the number (16) 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 129161376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215115264).

129161376 is an abundant number, since it is smaller than the sum of its proper divisors (301069152).

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

129161376 is a wasteful number, since it uses less digits than its factorization.

129161376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 113 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 129161376 is about 11364.9186534704. The cubic root of 129161376 is about 505.4880436963.

The spelling of 129161376 in words is "one hundred twenty-nine million, one hundred sixty-one thousand, three hundred seventy-six".