126735440 has 80 divisors (see below), whose sum is σ = 327645696. Its totient is φ = 45273600.

The previous prime is 126735421. The next prime is 126735443. The reversal of 126735440 is 44537621.

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

It is a junction number, because it is equal to n+sod(n) for n = 126735397 and 126735406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126735443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30275 + ... + 34205.

Almost surely, 2^126735440 is an apocalyptic number.

126735440 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 126735440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163822848).

126735440 is an abundant number, since it is smaller than the sum of its proper divisors (200910256).

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

126735440 is a wasteful number, since it uses less digits than its factorization.

126735440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3988 (or 3982 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 126735440 is about 11257.6835983252. The cubic root of 126735440 is about 502.3032933867.

The spelling of 126735440 in words is "one hundred twenty-six million, seven hundred thirty-five thousand, four hundred forty".