126441540 has 96 divisors (see below), whose sum is σ = 403038720. Its totient is φ = 32889600.

The previous prime is 126441533. The next prime is 126441541. The reversal of 126441540 is 45144621.

126441540 is a `hidden beast` number, since 1 + 2 + 644 + 15 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126441541) 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 31 ways as a sum of consecutive naturals, for example, 19285 + ... + 24995.

It is an arithmetic number, because the mean of its divisors is an integer number (4198320).

Almost surely, 2^126441540 is an apocalyptic number.

126441540 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 126441540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201519360).

126441540 is an abundant number, since it is smaller than the sum of its proper divisors (276597180).

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

126441540 is a wasteful number, since it uses less digits than its factorization.

126441540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5770 (or 5762 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 126441540 is about 11244.6227148802. The cubic root of 126441540 is about 501.9147117319.

The spelling of 126441540 in words is "one hundred twenty-six million, four hundred forty-one thousand, five hundred forty".