145594800 has 480 divisors, whose sum is σ = 600586560. Its totient is φ = 33177600.

The previous prime is 145594781. The next prime is 145594843. The reversal of 145594800 is 8495541.

145594800 is digitally balanced in base 3, because in such base 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 (36).

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 95 ways as a sum of consecutive naturals, for example, 2386770 + ... + 2386830.

It is an arithmetic number, because the mean of its divisors is an integer number (1251222).

Almost surely, 2^145594800 is an apocalyptic number.

145594800 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 145594800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300293280).

145594800 is an abundant number, since it is smaller than the sum of its proper divisors (454991760).

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

145594800 is a wasteful number, since it uses less digits than its factorization.

145594800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 145594800 is about 12066.2670283729. The cubic root of 145594800 is about 526.0761598966.

The spelling of 145594800 in words is "one hundred forty-five million, five hundred ninety-four thousand, eight hundred".