145245200 has 60 divisors (see below), whose sum is σ = 351437700. Its totient is φ = 57684480.

The previous prime is 145245173. The next prime is 145245223. The reversal of 145245200 is 2542541.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1149184 + 144096016 = 1072^2 + 12004^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58382 + ... + 60818.

It is an arithmetic number, because the mean of its divisors is an integer number (5857295).

Almost surely, 2^145245200 is an apocalyptic number.

145245200 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 145245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175718850).

145245200 is an abundant number, since it is smaller than the sum of its proper divisors (206192500).

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

145245200 is a wasteful number, since it uses less digits than its factorization.

145245200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2604 (or 2593 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 145245200 is about 12051.7716539934. The cubic root of 145245200 is about 525.6547537571.

Adding to 145245200 its reverse (2542541), we get a palindrome (147787741).

The spelling of 145245200 in words is "one hundred forty-five million, two hundred forty-five thousand, two hundred".