126241040 has 40 divisors (see below), whose sum is σ = 301450200. Its totient is φ = 49130496.

The previous prime is 126241039. The next prime is 126241057. The reversal of 126241040 is 40142621.

It can be written as a sum of positive squares in 4 ways, for example, as 41011216 + 85229824 = 6404^2 + 9232^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18365 + ... + 24284.

It is an arithmetic number, because the mean of its divisors is an integer number (7536255).

Almost surely, 2^126241040 is an apocalyptic number.

126241040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126241040 is an abundant number, since it is smaller than the sum of its proper divisors (175209160).

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

126241040 is a wasteful number, since it uses less digits than its factorization.

126241040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42699 (or 42693 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 126241040 is about 11235.7038052807. The cubic root of 126241040 is about 501.6492738102.

Adding to 126241040 its reverse (40142621), we get a palindrome (166383661).

The spelling of 126241040 in words is "one hundred twenty-six million, two hundred forty-one thousand, forty".