145306224000 has 1536 divisors, whose sum is σ = 653333990400. Its totient is φ = 31352832000.

The previous prime is 145306223977. The next prime is 145306224013. The reversal of 145306224000 is 422603541.

145306224000 is a `hidden beast` number, since 1 + 4 + 5 + 30 + 622 + 4 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×145306224000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 517103860 + ... + 517104140.

It is an arithmetic number, because the mean of its divisors is an integer number (425347650).

Almost surely, 2^145306224000 is an apocalyptic number.

145306224000 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 145306224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326666995200).

145306224000 is an abundant number, since it is smaller than the sum of its proper divisors (508027766400).

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

145306224000 is an equidigital number, since it uses as much as digits as its factorization.

145306224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 145306224000 its reverse (422603541), we get a palindrome (145728827541).

The spelling of 145306224000 in words is "one hundred forty-five billion, three hundred six million, two hundred twenty-four thousand".