253400442544134 has 48 divisors (see below), whose sum is σ = 564321825779712. Its totient is φ = 82132503377904.

The previous prime is 253400442544129. The next prime is 253400442544141. The reversal of 253400442544134 is 431445244004352.

253400442544134 is a `hidden beast` number, since 2 + 5 + 34 + 0 + 0 + 4 + 42 + 544 + 1 + 34 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 253400442544134.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 733887382 + ... + 734232585.

It is an arithmetic number, because the mean of its divisors is an integer number (11756704703744).

Almost surely, 2^{253400442544134} is an apocalyptic number.

253400442544134 is an abundant number, since it is smaller than the sum of its proper divisors (310921383235578).

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

253400442544134 is a wasteful number, since it uses less digits than its factorization.

253400442544134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468120241 (or 1468120238 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 45.

Adding to 253400442544134 its reverse (431445244004352), we get a palindrome (684845686548486).

The spelling of 253400442544134 in words is "two hundred fifty-three trillion, four hundred billion, four hundred forty-two million, five hundred forty-four thousand, one hundred thirty-four".