126225040 has 20 divisors (see below), whose sum is σ = 293473404. Its totient is φ = 50489984.

The previous prime is 126224981. The next prime is 126225041. The reversal of 126225040 is 40522621.

It can be written as a sum of positive squares in 2 ways, for example, as 22429696 + 103795344 = 4736^2 + 10188^2 .

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

It is a super-3 number, since 3×126225040³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (126225041) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 788827 + ... + 788986.

Almost surely, 2^126225040 is an apocalyptic number.

126225040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126225040 is an abundant number, since it is smaller than the sum of its proper divisors (167248364).

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

126225040 is a wasteful number, since it uses less digits than its factorization.

126225040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577826 (or 1577820 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 126225040 is about 11234.9917667972. The cubic root of 126225040 is about 501.6280796262.

Adding to 126225040 its reverse (40522621), we get a palindrome (166747661).

The spelling of 126225040 in words is "one hundred twenty-six million, two hundred twenty-five thousand, forty".