145144303431200 has 144 divisors (see below), whose sum is σ = 376675565595840. Its totient is φ = 54457476480000.

The previous prime is 145144303431187. The next prime is 145144303431221. The reversal of 145144303431200 is 2134303441541.

145144303431200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 45736916 + ... + 48807315.

It is an arithmetic number, because the mean of its divisors is an integer number (2615802538860).

Almost surely, 2^{145144303431200} is an apocalyptic number.

145144303431200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145144303431200 is an abundant number, since it is smaller than the sum of its proper divisors (231531262164640).

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

145144303431200 is a wasteful number, since it uses less digits than its factorization.

145144303431200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94544371 (or 94544358 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

Adding to 145144303431200 its reverse (2134303441541), we get a palindrome (147278606872741).

The spelling of 145144303431200 in words is "one hundred forty-five trillion, one hundred forty-four billion, three hundred three million, four hundred thirty-one thousand, two hundred".