126288945 has 24 divisors (see below), whose sum is σ = 219234600. Its totient is φ = 67251456.

The previous prime is 126288931. The next prime is 126288961. The reversal of 126288945 is 549882621.

126288945 is a `hidden beast` number, since 12 + 628 + 8 + 9 + 4 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6517809 + 119771136 = 2553^2 + 10944^2 .

It is not a de Polignac number, because 126288945 - 2⁹ = 126288433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 126288945.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 34671 + ... + 38139.

It is an arithmetic number, because the mean of its divisors is an integer number (9134775).

Almost surely, 2^126288945 is an apocalyptic number.

126288945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

126288945 is a deficient number, since it is larger than the sum of its proper divisors (92945655).

126288945 is a wasteful number, since it uses less digits than its factorization.

126288945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4289 (or 4286 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 126288945 is about 11237.8354232477. The cubic root of 126288945 is about 501.7127198162.

The spelling of 126288945 in words is "one hundred twenty-six million, two hundred eighty-eight thousand, nine hundred forty-five".