145200401300 has 18 divisors (see below), whose sum is σ = 315084871038. Its totient is φ = 58080160480.

The previous prime is 145200401299. The next prime is 145200401347. The reversal of 145200401300 is 3104002541.

145200401300 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 3 ways, for example, as 17435617936 + 127764783364 = 132044^2 + 357442^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 5 ways as a sum of consecutive naturals, for example, 726001907 + ... + 726002106.

Almost surely, 2^145200401300 is an apocalyptic number.

145200401300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145200401300 is an abundant number, since it is smaller than the sum of its proper divisors (169884469738).

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

145200401300 is a wasteful number, since it uses less digits than its factorization.

145200401300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452004027 (or 1452004020 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 145200401300 its reverse (3104002541), we get a palindrome (148304403841).

The spelling of 145200401300 in words is "one hundred forty-five billion, two hundred million, four hundred one thousand, three hundred".