129977172 has 162 divisors, whose sum is σ = 388380174. Its totient is φ = 36426240.

The previous prime is 129977171. The next prime is 129977173. The reversal of 129977172 is 271779921.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (129977171) and next prime (129977173).

It can be written as a sum of positive squares in 3 ways, for example, as 29095236 + 100881936 = 5394^2 + 10044^2 .

It is a super-2 number, since 2×129977172² = 33788130482235168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129977171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4192797 + ... + 4192827.

Almost surely, 2^129977172 is an apocalyptic number.

129977172 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 129977172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194190087).

129977172 is an abundant number, since it is smaller than the sum of its proper divisors (258403002).

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

129977172 is a wasteful number, since it uses less digits than its factorization.

129977172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 66 counting only the distinct ones).

The product of its digits is 111132, while the sum is 45.

The square root of 129977172 is about 11400.7531330171. The cubic root of 129977172 is about 506.5500483757.

The spelling of 129977172 in words is "one hundred twenty-nine million, nine hundred seventy-seven thousand, one hundred seventy-two".