145212245200 has 180 divisors, whose sum is σ = 396698320620. Its totient is φ = 50983116800.

The previous prime is 145212245179. The next prime is 145212245203. The reversal of 145212245200 is 2542212541.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7271313984 + 137940931216 = 85272^2 + 371404^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145212245203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1351872 + ... + 1455328.

It is an arithmetic number, because the mean of its divisors is an integer number (2203879559).

Almost surely, 2^145212245200 is an apocalyptic number.

145212245200 is a gapful number since it is divisible by the number (10) 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 145212245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198349160310).

145212245200 is an abundant number, since it is smaller than the sum of its proper divisors (251486075420).

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

145212245200 is a wasteful number, since it uses less digits than its factorization.

145212245200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103526 (or 103504 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

Adding to 145212245200 its reverse (2542212541), we get a palindrome (147754457741).

The spelling of 145212245200 in words is "one hundred forty-five billion, two hundred twelve million, two hundred forty-five thousand, two hundred".