145649089600 has 567 divisors, whose sum is σ = 441153759423. Its totient is φ = 47189022720.

The previous prime is 145649089567. The next prime is 145649089601. The reversal of 145649089600 is 6980946541.

It is a happy number.

The square root of 145649089600 is 381640.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2002025536 + 143647064064 = 44744^2 + 379008^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (145649089601) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 3098916777 + ... + 3098916823.

Almost surely, 2^145649089600 is an apocalyptic number.

145649089600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145649089600 is the 381640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145649089600

145649089600 is an abundant number, since it is smaller than the sum of its proper divisors (295504669823).

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

145649089600 is an equidigital number, since it uses as much as digits as its factorization.

145649089600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 52.

The spelling of 145649089600 in words is "one hundred forty-five billion, six hundred forty-nine million, eighty-nine thousand, six hundred".