145180800 has 216 divisors, whose sum is σ = 525437445. Its totient is φ = 38169600.

The previous prime is 145180787. The next prime is 145180811. The reversal of 145180800 is 8081541.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 142277184 + 2903616 = 11928^2 + 1704^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=8520.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2044765 + ... + 2044835.

Almost surely, 2^145180800 is an apocalyptic number.

145180800 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 145180800

145180800 is an abundant number, since it is smaller than the sum of its proper divisors (380256645).

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

145180800 is an equidigital number, since it uses as much as digits as its factorization.

145180800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 145180800 is about 12049.0995514188. The cubic root of 145180800 is about 525.5770525764.

The spelling of 145180800 in words is "one hundred forty-five million, one hundred eighty thousand, eight hundred".