254145421213140 has 96 divisors (see below), whose sum is σ = 718785505146240. Its totient is φ = 67088710080000.

The previous prime is 254145421213127. The next prime is 254145421213141. The reversal of 254145421213140 is 41312124541452.

It is a happy number.

It is a super-2 number, since 2×254145421213140² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254145421213141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28969590 + ... + 36708690.

It is an arithmetic number, because the mean of its divisors is an integer number (7487349011940).

Almost surely, 2^{254145421213140} is an apocalyptic number.

254145421213140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254145421213140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359392752573120).

254145421213140 is an abundant number, since it is smaller than the sum of its proper divisors (464640083933100).

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

254145421213140 is a wasteful number, since it uses less digits than its factorization.

254145421213140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7744633 (or 7744631 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

Adding to 254145421213140 its reverse (41312124541452), we get a palindrome (295457545754592).

The spelling of 254145421213140 in words is "two hundred fifty-four trillion, one hundred forty-five billion, four hundred twenty-one million, two hundred thirteen thousand, one hundred forty".