250145141200 has 60 divisors (see below), whose sum is σ = 601621499340. Its totient is φ = 99950202880.

The previous prime is 250145141179. The next prime is 250145141203. The reversal of 250145141200 is 2141541052.

It can be written as a sum of positive squares in 6 ways, for example, as 43149260176 + 206995881024 = 207724^2 + 454968^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (250145141203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 35022 + ... + 708178.

It is an arithmetic number, because the mean of its divisors is an integer number (10027024989).

Almost surely, 2^250145141200 is an apocalyptic number.

250145141200 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 250145141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300810749670).

250145141200 is an abundant number, since it is smaller than the sum of its proper divisors (351476358140).

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

250145141200 is a wasteful number, since it uses less digits than its factorization.

250145141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674104 (or 674093 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 250145141200 its reverse (2141541052), we get a palindrome (252286682252).

The spelling of 250145141200 in words is "two hundred fifty billion, one hundred forty-five million, one hundred forty-one thousand, two hundred".