145003200 has 168 divisors, whose sum is σ = 503998992. Its totient is φ = 36372480.

The previous prime is 145003163. The next prime is 145003207. The reversal of 145003200 is 2300541.

It is a super-3 number, since 3×145003200³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 145003200.

It is not an unprimeable number, because it can be changed into a prime (145003207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80712 + ... + 82488.

It is an arithmetic number, because the mean of its divisors is an integer number (2999994).

Almost surely, 2^145003200 is an apocalyptic number.

145003200 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 145003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251999496).

145003200 is an abundant number, since it is smaller than the sum of its proper divisors (358995792).

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

145003200 is a wasteful number, since it uses less digits than its factorization.

145003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1819 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 145003200 is about 12041.7274508270. The cubic root of 145003200 is about 525.3626519292.

Adding to 145003200 its reverse (2300541), we get a palindrome (147303741).

The spelling of 145003200 in words is "one hundred forty-five million, three thousand, two hundred".