126187760 has 80 divisors (see below), whose sum is σ = 305337600. Its totient is φ = 48457728.

The previous prime is 126187751. The next prime is 126187769. The reversal of 126187760 is 67781621.

It is an interprime number because it is at equal distance from previous prime (126187751) and next prime (126187769).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126187769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263201 + ... + 263679.

It is an arithmetic number, because the mean of its divisors is an integer number (3816720).

Almost surely, 2^126187760 is an apocalyptic number.

126187760 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 126187760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152668800).

126187760 is an abundant number, since it is smaller than the sum of its proper divisors (179149840).

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

126187760 is a wasteful number, since it uses less digits than its factorization.

126187760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 38.

The square root of 126187760 is about 11233.3325420376. The cubic root of 126187760 is about 501.5786902283.

The spelling of 126187760 in words is "one hundred twenty-six million, one hundred eighty-seven thousand, seven hundred sixty".