126073040 has 20 divisors (see below), whose sum is σ = 293120004. Its totient is φ = 50429184.

The previous prime is 126073021. The next prime is 126073043. The reversal of 126073040 is 40370621.

It can be written as a sum of positive squares in 2 ways, for example, as 42094144 + 83978896 = 6488^2 + 9164^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×126073040² = 31788822829683200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 126072997 and 126073015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126073043) 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 3 ways as a sum of consecutive naturals, for example, 787877 + ... + 788036.

Almost surely, 2^126073040 is an apocalyptic number.

126073040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126073040 is an abundant number, since it is smaller than the sum of its proper divisors (167046964).

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

126073040 is a wasteful number, since it uses less digits than its factorization.

126073040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575926 (or 1575920 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 126073040 is about 11228.2251491498. The cubic root of 126073040 is about 501.4266454937.

The spelling of 126073040 in words is "one hundred twenty-six million, seventy-three thousand, forty".