254131444032144 has 60 divisors (see below), whose sum is σ = 763690921103664. Its totient is φ = 72608984008512.

The previous prime is 254131444032107. The next prime is 254131444032163. The reversal of 254131444032144 is 441230444131452.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 254131444032096 and 254131444032105.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54024539322 + ... + 54024544025.

Almost surely, 2^{254131444032144} is an apocalyptic number.

254131444032144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

254131444032144 is an abundant number, since it is smaller than the sum of its proper divisors (509559477071520).

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

254131444032144 is a wasteful number, since it uses less digits than its factorization.

254131444032144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108049083372 (or 108049083359 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 42.

Adding to 254131444032144 its reverse (441230444131452), we get a palindrome (695361888163596).

The spelling of 254131444032144 in words is "two hundred fifty-four trillion, one hundred thirty-one billion, four hundred forty-four million, thirty-two thousand, one hundred forty-four".