126107280 has 240 divisors, whose sum is σ = 473928000. Its totient is φ = 30979584.

The previous prime is 126107273. The next prime is 126107327. The reversal of 126107280 is 82701621.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252471 + ... + 252969.

It is an arithmetic number, because the mean of its divisors is an integer number (1974700).

Almost surely, 2^126107280 is an apocalyptic number.

126107280 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 126107280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236964000).

126107280 is an abundant number, since it is smaller than the sum of its proper divisors (347820720).

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

126107280 is a wasteful number, since it uses less digits than its factorization.

126107280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 126107280 is about 11229.7497745943. The cubic root of 126107280 is about 501.4720353045.

The spelling of 126107280 in words is "one hundred twenty-six million, one hundred seven thousand, two hundred eighty".