145744200 has 288 divisors, whose sum is σ = 574516800. Its totient is φ = 32417280.

The previous prime is 145744163. The next prime is 145744211. The reversal of 145744200 is 2447541.

145744200 is a `hidden beast` number, since 1 + 457 + 4 + 4 + 200 = 666.

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 71 ways as a sum of consecutive naturals, for example, 541666 + ... + 541934.

It is an arithmetic number, because the mean of its divisors is an integer number (1994850).

Almost surely, 2^145744200 is an apocalyptic number.

145744200 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 145744200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287258400).

145744200 is an abundant number, since it is smaller than the sum of its proper divisors (428772600).

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

145744200 is a wasteful number, since it uses less digits than its factorization.

145744200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 145744200 is about 12072.4562538035. The cubic root of 145744200 is about 526.2560401998.

The spelling of 145744200 in words is "one hundred forty-five million, seven hundred forty-four thousand, two hundred".