242126307 has 32 divisors (see below), whose sum is σ = 373248000. Its totient is φ = 154939680.

The previous prime is 242126299. The next prime is 242126321. The reversal of 242126307 is 703621242.

242126307 is a `hidden beast` number, since 2 + 4 + 21 + 2 + 630 + 7 = 666.

It is not a de Polignac number, because 242126307 - 2³ = 242126299 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (242126107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148744 + ... + 150362.

It is an arithmetic number, because the mean of its divisors is an integer number (11664000).

Almost surely, 2^242126307 is an apocalyptic number.

242126307 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

242126307 is a deficient number, since it is larger than the sum of its proper divisors (131121693).

242126307 is a wasteful number, since it uses less digits than its factorization.

242126307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1842 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 242126307 is about 15560.4083172647. The cubic root of 242126307 is about 623.2763662149.

Adding to 242126307 its reverse (703621242), we get a palindrome (945747549).

The spelling of 242126307 in words is "two hundred forty-two million, one hundred twenty-six thousand, three hundred seven".