145430544000 has 512 divisors, whose sum is σ = 553584844800. Its totient is φ = 33083904000.

The previous prime is 145430543981. The next prime is 145430544043. The reversal of 145430544000 is 445034541.

145430544000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 80303095 + ... + 80304905.

It is an arithmetic number, because the mean of its divisors is an integer number (1081220400).

Almost surely, 2^145430544000 is an apocalyptic number.

145430544000 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 145430544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276792422400).

145430544000 is an abundant number, since it is smaller than the sum of its proper divisors (408154300800).

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

145430544000 is a wasteful number, since it uses less digits than its factorization.

145430544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 145430544000 its reverse (445034541), we get a palindrome (145875578541).

The spelling of 145430544000 in words is "one hundred forty-five billion, four hundred thirty million, five hundred forty-four thousand".