145841200 has 60 divisors (see below), whose sum is σ = 352879200. Its totient is φ = 57921280.

The previous prime is 145841191. The next prime is 145841219. The reversal of 145841200 is 2148541.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58377 + ... + 60823.

It is an arithmetic number, because the mean of its divisors is an integer number (5881320).

Almost surely, 2^145841200 is an apocalyptic number.

145841200 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 145841200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176439600).

145841200 is an abundant number, since it is smaller than the sum of its proper divisors (207038000).

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

145841200 is a wasteful number, since it uses less digits than its factorization.

145841200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2614 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 145841200 is about 12076.4729950429. The cubic root of 145841200 is about 526.3727641480.

Adding to 145841200 its reverse (2148541), we get a palindrome (147989741).

The spelling of 145841200 in words is "one hundred forty-five million, eight hundred forty-one thousand, two hundred".