242105400135 has 48 divisors (see below), whose sum is σ = 437952572928. Its totient is φ = 123492600000.

The previous prime is 242105400083. The next prime is 242105400143. The reversal of 242105400135 is 531004501242.

242105400135 is a `hidden beast` number, since 24 + 2 + 105 + 400 + 135 = 666.

It is not a de Polignac number, because 242105400135 - 2⁷ = 242105400007 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 242105400099 and 242105400108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14223780 + ... + 14240790.

It is an arithmetic number, because the mean of its divisors is an integer number (9124011936).

Almost surely, 2^242105400135 is an apocalyptic number.

242105400135 is a deficient number, since it is larger than the sum of its proper divisors (195847172793).

242105400135 is a wasteful number, since it uses less digits than its factorization.

242105400135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30796 (or 30793 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 242105400135 its reverse (531004501242), we get a palindrome (773109901377).

The spelling of 242105400135 in words is "two hundred forty-two billion, one hundred five million, four hundred thousand, one hundred thirty-five".