126129760 has 48 divisors (see below), whose sum is σ = 299309472. Its totient is φ = 50227200.

The previous prime is 126129743. The next prime is 126129763. The reversal of 126129760 is 67921621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126129763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36925 + ... + 40195.

It is an arithmetic number, because the mean of its divisors is an integer number (6235614).

Almost surely, 2^126129760 is an apocalyptic number.

126129760 is a gapful number since it is divisible by the number (10) 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 126129760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149654736).

126129760 is an abundant number, since it is smaller than the sum of its proper divisors (173179712).

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

126129760 is a wasteful number, since it uses less digits than its factorization.

126129760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3527 (or 3519 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 126129760 is about 11230.7506427665. The cubic root of 126129760 is about 501.5018311565.

The spelling of 126129760 in words is "one hundred twenty-six million, one hundred twenty-nine thousand, seven hundred sixty".