126129960 has 160 divisors (see below), whose sum is σ = 462607200. Its totient is φ = 30568320.

The previous prime is 126129931. The next prime is 126130013. The reversal of 126129960 is 69921621.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33871 + ... + 37409.

It is an arithmetic number, because the mean of its divisors is an integer number (2891295).

Almost surely, 2^126129960 is an apocalyptic number.

126129960 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 126129960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231303600).

126129960 is an abundant number, since it is smaller than the sum of its proper divisors (336477240).

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

126129960 is a wasteful number, since it uses less digits than its factorization.

126129960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3573 (or 3560 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 126129960 is about 11230.7595468873. The cubic root of 126129960 is about 501.5020962283.

The spelling of 126129960 in words is "one hundred twenty-six million, one hundred twenty-nine thousand, nine hundred sixty".