254121304144 has 80 divisors (see below), whose sum is σ = 512201788416. Its totient is φ = 122006016000.

The previous prime is 254121304133. The next prime is 254121304169. The reversal of 254121304144 is 441403121452.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95640864 + ... + 95643520.

Almost surely, 2^254121304144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254121304144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256100894208).

254121304144 is an abundant number, since it is smaller than the sum of its proper divisors (258080484272).

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

254121304144 is a wasteful number, since it uses less digits than its factorization.

254121304144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4124 (or 4118 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 254121304144 its reverse (441403121452), we get a palindrome (695524425596).

The spelling of 254121304144 in words is "two hundred fifty-four billion, one hundred twenty-one million, three hundred four thousand, one hundred forty-four".