126654740 has 48 divisors (see below), whose sum is σ = 273977424. Its totient is φ = 49152000.

The previous prime is 126654733. The next prime is 126654757. The reversal of 126654740 is 47456621.

It can be written as a sum of positive squares in 8 ways, for example, as 3400336 + 123254404 = 1844^2 + 11102^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 126654740.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210440 + ... + 211040.

It is an arithmetic number, because the mean of its divisors is an integer number (5707863).

Almost surely, 2^126654740 is an apocalyptic number.

126654740 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 126654740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136988712).

126654740 is an abundant number, since it is smaller than the sum of its proper divisors (147322684).

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

126654740 is a wasteful number, since it uses less digits than its factorization.

126654740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 126654740 is about 11254.0988088785. The cubic root of 126654740 is about 502.1966552785.

The spelling of 126654740 in words is "one hundred twenty-six million, six hundred fifty-four thousand, seven hundred forty".