145313525300 has 36 divisors (see below), whose sum is σ = 315483206220. Its totient is φ = 58097233920.

The previous prime is 145313525299. The next prime is 145313525317. The reversal of 145313525300 is 3525313541.

145313525300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 4078865956 + 141234659344 = 63866^2 + 375812^2 .

It is a super-2 number, since 2×145313525300² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144269 + ... + 558068.

It is an arithmetic number, because the mean of its divisors is an integer number (8763422395).

Almost surely, 2^145313525300 is an apocalyptic number.

145313525300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145313525300 is an abundant number, since it is smaller than the sum of its proper divisors (170169680920).

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

145313525300 is a wasteful number, since it uses less digits than its factorization.

145313525300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704420 (or 704413 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 32.

Adding to 145313525300 its reverse (3525313541), we get a palindrome (148838838841).

The spelling of 145313525300 in words is "one hundred forty-five billion, three hundred thirteen million, five hundred twenty-five thousand, three hundred".