145145230000 has 200 divisors, whose sum is σ = 358878684560. Its totient is φ = 56833920000.

The previous prime is 145145229997. The next prime is 145145230049. The reversal of 145145230000 is 32541541.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 168969571 + ... + 168970429.

Almost surely, 2^145145230000 is an apocalyptic number.

145145230000 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 145145230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179439342280).

145145230000 is an abundant number, since it is smaller than the sum of its proper divisors (213733454560).

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

145145230000 is an equidigital number, since it uses as much as digits as its factorization.

145145230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 145145230000 its reverse (32541541), we get a palindrome (145177771541).

The spelling of 145145230000 in words is "one hundred forty-five billion, one hundred forty-five million, two hundred thirty thousand".