145216364200 has 96 divisors (see below), whose sum is σ = 353296595160. Its totient is φ = 55450137600.

The previous prime is 145216364129. The next prime is 145216364221. The reversal of 145216364200 is 2463612541.

It can be written as a sum of positive squares in 12 ways, for example, as 88388479204 + 56827884996 = 297302^2 + 238386^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207070 + ... + 577330.

Almost surely, 2^145216364200 is an apocalyptic number.

145216364200 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 145216364200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176648297580).

145216364200 is an abundant number, since it is smaller than the sum of its proper divisors (208080230960).

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

145216364200 is a wasteful number, since it uses less digits than its factorization.

145216364200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370367 (or 370358 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

Adding to 145216364200 its reverse (2463612541), we get a palindrome (147679976741).

The spelling of 145216364200 in words is "one hundred forty-five billion, two hundred sixteen million, three hundred sixty-four thousand, two hundred".