145300000000 has 162 divisors, whose sum is σ = 362789853314. Its totient is φ = 58080000000.

The previous prime is 145299999973. The next prime is 145300000051. The reversal of 145300000000 is 3541.

It can be written as a sum of positive squares in 9 ways, for example, as 92591186944 + 52708813056 = 304288^2 + 229584^2 .

It is a super-2 number, since 2×145300000000² (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 (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 99999274 + ... + 100000726.

Almost surely, 2^145300000000 is an apocalyptic number.

145300000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145300000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181394926657).

145300000000 is an abundant number, since it is smaller than the sum of its proper divisors (217489853314).

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

145300000000 is an frugal number, since it uses more digits than its factorization.

145300000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

Adding to 145300000000 its reverse (3541), we get a palindrome (145300003541).

The spelling of 145300000000 in words is "one hundred forty-five billion, three hundred million", and thus it is an aban number.