145450800 has 180 divisors, whose sum is σ = 550791384. Its totient is φ = 35251200.

The previous prime is 145450733. The next prime is 145450817. The reversal of 145450800 is 8054541.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37764 + ... + 41436.

Almost surely, 2^145450800 is an apocalyptic number.

145450800 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 145450800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275395692).

145450800 is an abundant number, since it is smaller than the sum of its proper divisors (405340584).

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

145450800 is a wasteful number, since it uses less digits than its factorization.

145450800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3708 (or 3694 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 145450800 is about 12060.2985037685. The cubic root of 145450800 is about 525.9026647905.

The spelling of 145450800 in words is "one hundred forty-five million, four hundred fifty thousand, eight hundred".