145884200 has 96 divisors (see below), whose sum is σ = 422919360. Its totient is φ = 45465600.

The previous prime is 145884187. The next prime is 145884209. The reversal of 145884200 is 2488541.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (145884209) 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, 10664 + ... + 20136.

It is an arithmetic number, because the mean of its divisors is an integer number (4405410).

Almost surely, 2^145884200 is an apocalyptic number.

145884200 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 145884200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211459680).

145884200 is an abundant number, since it is smaller than the sum of its proper divisors (277035160).

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

145884200 is a wasteful number, since it uses less digits than its factorization.

145884200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9507 (or 9498 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The square root of 145884200 is about 12078.2531849601. The cubic root of 145884200 is about 526.4244911971.

It can be divided in two parts, 1458 and 84200, that added together give a palindrome (85658).

The spelling of 145884200 in words is "one hundred forty-five million, eight hundred eighty-four thousand, two hundred".