145000201422400 has 84 divisors (see below), whose sum is σ = 369094262833620. Its totient is φ = 56000077772800.

The previous prime is 145000201422383. The next prime is 145000201422403. The reversal of 145000201422400 is 4224102000541.

145000201422400 is digitally balanced in base 3, 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 11629300350976 + 133370901071424 = 3410176^2 + 11548632^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (145000201422403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1562455771 + ... + 1562548570.

Almost surely, 2^{145000201422400} is an apocalyptic number.

145000201422400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145000201422400 is an abundant number, since it is smaller than the sum of its proper divisors (224094061411220).

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

145000201422400 is a wasteful number, since it uses less digits than its factorization.

145000201422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3125004392 (or 3125004377 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 145000201422400 its reverse (4224102000541), we get a palindrome (149224303422941).

The spelling of 145000201422400 in words is "one hundred forty-five trillion, two hundred one million, four hundred twenty-two thousand, four hundred".