129937248 has 72 divisors (see below), whose sum is σ = 422302608. Its totient is φ = 37124352.

The previous prime is 129937211. The next prime is 129937253. The reversal of 129937248 is 842739921.

It is a tau number, because it is divible by the number of its divisors (72).

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.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 30211 + ... + 34242.

It is an arithmetic number, because the mean of its divisors is an integer number (5865314).

Almost surely, 2^129937248 is an apocalyptic number.

129937248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

129937248 is an abundant number, since it is smaller than the sum of its proper divisors (292365360).

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

129937248 is a wasteful number, since it uses less digits than its factorization.

129937248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64476 (or 64465 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 129937248 is about 11399.0020615842. The cubic root of 129937248 is about 506.4981788184.

The spelling of 129937248 in words is "one hundred twenty-nine million, nine hundred thirty-seven thousand, two hundred forty-eight".