126054720 has 336 divisors, whose sum is σ = 496409472. Its totient is φ = 29061120.

The previous prime is 126054713. The next prime is 126054727. The reversal of 126054720 is 27450621.

126054720 is a `hidden beast` number, since 12 + 605 + 47 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (126054713) and next prime (126054727).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126054727) 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 47 ways as a sum of consecutive naturals, for example, 728554 + ... + 728726.

Almost surely, 2^126054720 is an apocalyptic number.

126054720 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 126054720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248204736).

126054720 is an abundant number, since it is smaller than the sum of its proper divisors (370354752).

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

126054720 is a wasteful number, since it uses less digits than its factorization.

126054720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 126054720 is about 11227.4093182711. The cubic root of 126054720 is about 501.4023564489.

The spelling of 126054720 in words is "one hundred twenty-six million, fifty-four thousand, seven hundred twenty".