6129139904 has 56 divisors (see below), whose sum is σ = 12438766080. Its totient is φ = 2995149056.

The previous prime is 6129139903. The next prime is 6129139927. The reversal of 6129139904 is 4099319216.

It is a happy number.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (6129139901) 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 7 ways as a sum of consecutive naturals, for example, 3930677 + ... + 3932235.

Almost surely, 2^6129139904 is an apocalyptic number.

6129139904 is a gapful number since it is divisible by the number (64) 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 6129139904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6219383040).

6129139904 is an abundant number, since it is smaller than the sum of its proper divisors (6309626176).

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

6129139904 is a wasteful number, since it uses less digits than its factorization.

6129139904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2925 (or 2915 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 44.

The square root of 6129139904 is about 78288.8236212552. The cubic root of 6129139904 is about 1830.0649846034.

The spelling of 6129139904 in words is "six billion, one hundred twenty-nine million, one hundred thirty-nine thousand, nine hundred four".