126203040 has 72 divisors (see below), whose sum is σ = 430672788. Its totient is φ = 33653760.

The previous prime is 126203039. The next prime is 126203071. The reversal of 126203040 is 40302621.

It is a happy number.

126203040 is a `hidden beast` number, since 1 + 2 + 620 + 3 + 0 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 114832656 + 11370384 = 10716^2 + 3372^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42381 + ... + 45260.

Almost surely, 2^126203040 is an apocalyptic number.

126203040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126203040 is an abundant number, since it is smaller than the sum of its proper divisors (304469748).

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

126203040 is a wasteful number, since it uses less digits than its factorization.

126203040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87662 (or 87651 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 126203040 is about 11234.0126401923. The cubic root of 126203040 is about 501.5989346986.

Adding to 126203040 its reverse (40302621), we get a palindrome (166505661).

The spelling of 126203040 in words is "one hundred twenty-six million, two hundred three thousand, forty".