129274992 has 240 divisors, whose sum is σ = 459613440. Its totient is φ = 32947200.

The previous prime is 129274979. The next prime is 129274997. The reversal of 129274992 is 299472921.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (163296) is a multiple of the sum of its prime divisors (243).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129274997) by changing a digit.

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, 986767 + ... + 986897.

It is an arithmetic number, because the mean of its divisors is an integer number (1915056).

Almost surely, 2^129274992 is an apocalyptic number.

129274992 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 129274992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229806720).

129274992 is an abundant number, since it is smaller than the sum of its proper divisors (330338448).

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

129274992 is a wasteful number, since it uses less digits than its factorization.

129274992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 243 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 129274992 is about 11369.9160946772. The cubic root of 129274992 is about 505.6362167282.

The spelling of 129274992 in words is "one hundred twenty-nine million, two hundred seventy-four thousand, nine hundred ninety-two".