126741456 has 80 divisors (see below), whose sum is σ = 365204800. Its totient is φ = 42083712.

The previous prime is 126741427. The next prime is 126741467. The reversal of 126741456 is 654147621.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 126741456.

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, 171135 + ... + 171873.

It is an arithmetic number, because the mean of its divisors is an integer number (4565060).

Almost surely, 2^126741456 is an apocalyptic number.

126741456 is a gapful number since it is divisible by the number (16) 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 126741456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182602400).

126741456 is an abundant number, since it is smaller than the sum of its proper divisors (238463344).

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

126741456 is a wasteful number, since it uses less digits than its factorization.

126741456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1141 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 126741456 is about 11257.9507904414. The cubic root of 126741456 is about 502.3112411999.

The spelling of 126741456 in words is "one hundred twenty-six million, seven hundred forty-one thousand, four hundred fifty-six".