145323200 has 168 divisors, whose sum is σ = 408188160. Its totient is φ = 50406400.

The previous prime is 145323197. The next prime is 145323203. The reversal of 145323200 is 2323541.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (145323197) and next prime (145323203).

It is a super-2 number, since 2×145323200² = 42237664916480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (145323203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 404621 + ... + 404979.

Almost surely, 2^145323200 is an apocalyptic number.

145323200 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 145323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204094080).

145323200 is an abundant number, since it is smaller than the sum of its proper divisors (262864960).

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

145323200 is a wasteful number, since it uses less digits than its factorization.

145323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 145323200 is about 12055.0072583968. The cubic root of 145323200 is about 525.7488331334.

Adding to 145323200 its reverse (2323541), we get a palindrome (147646741).

The spelling of 145323200 in words is "one hundred forty-five million, three hundred twenty-three thousand, two hundred".