145313300444300 has 72 divisors (see below), whose sum is σ = 322667074152192. Its totient is φ = 56772871848000.

The previous prime is 145313300444297. The next prime is 145313300444339. The reversal of 145313300444300 is 3444003313541.

145313300444300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145313300444300² (a number of 29 digits) contains 22 as substring.

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, 479001665 + ... + 479304935.

Almost surely, 2^{145313300444300} is an apocalyptic number.

145313300444300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145313300444300 is an abundant number, since it is smaller than the sum of its proper divisors (177353773707892).

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

145313300444300 is a wasteful number, since it uses less digits than its factorization.

145313300444300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414759 (or 414752 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 35.

Adding to 145313300444300 its reverse (3444003313541), we get a palindrome (148757303757841).

The spelling of 145313300444300 in words is "one hundred forty-five trillion, three hundred thirteen billion, three hundred million, four hundred forty-four thousand, three hundred".