242514245134125 has 48 divisors (see below), whose sum is σ = 437940664003440. Its totient is φ = 129113617689600.

The previous prime is 242514245134111. The next prime is 242514245134163. The reversal of 242514245134125 is 521431542415242.

It is a happy number.

242514245134125 is a `hidden beast` number, since 2 + 4 + 2 + 5 + 1 + 4 + 2 + 4 + 513 + 4 + 125 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 66788546725476 + 175725698408649 = 8172426^2 + 13256157^2 .

It is not a de Polignac number, because 242514245134125 - 2³² = 242509950166829 is a prime.

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

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, 188787132 + ... + 190067381.

It is an arithmetic number, because the mean of its divisors is an integer number (9123763833405).

Almost surely, 2^{242514245134125} is an apocalyptic number.

242514245134125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

242514245134125 is a deficient number, since it is larger than the sum of its proper divisors (195426418869315).

242514245134125 is a wasteful number, since it uses less digits than its factorization.

242514245134125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378855103 (or 378855090 counting only the distinct ones).

The product of its digits is 1536000, while the sum is 45.

Adding to 242514245134125 its reverse (521431542415242), we get a palindrome (763945787549367).

The spelling of 242514245134125 in words is "two hundred forty-two trillion, five hundred fourteen billion, two hundred forty-five million, one hundred thirty-four thousand, one hundred twenty-five".