129940992 has 120 divisors (see below), whose sum is σ = 379500264. Its totient is φ = 42799104.

The previous prime is 129940991. The next prime is 129941023. The reversal of 129940992 is 299049921.

It is a super-2 number, since 2×129940992² = 33769322803888128, which contains 22 as substring.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (129940991) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 751018 + ... + 751190.

Almost surely, 2^129940992 is an apocalyptic number.

129940992 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 129940992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189750132).

129940992 is an abundant number, since it is smaller than the sum of its proper divisors (249559272).

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

129940992 is a wasteful number, since it uses less digits than its factorization.

129940992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 129940992 is about 11399.1662853035. The cubic root of 129940992 is about 506.5030435025.

The spelling of 129940992 in words is "one hundred twenty-nine million, nine hundred forty thousand, nine hundred ninety-two".