126189760 has 56 divisors (see below), whose sum is σ = 302757840. Its totient is φ = 50095104.

The previous prime is 126189751. The next prime is 126189787. The reversal of 126189760 is 67981621.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43062 + ... + 45898.

It is an arithmetic number, because the mean of its divisors is an integer number (5406390).

Almost surely, 2^126189760 is an apocalyptic number.

126189760 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 126189760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151378920).

126189760 is an abundant number, since it is smaller than the sum of its proper divisors (176568080).

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

126189760 is a wasteful number, since it uses less digits than its factorization.

126189760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2993 (or 2983 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The square root of 126189760 is about 11233.4215624626. The cubic root of 126189760 is about 501.5813401210.

The spelling of 126189760 in words is "one hundred twenty-six million, one hundred eighty-nine thousand, seven hundred sixty".