145200 has 90 divisors (see below), whose sum is σ = 511252. Its totient is φ = 35200.

The previous prime is 145193. The next prime is 145207. The reversal of 145200 is 2541.

It is an interprime number because it is at equal distance from previous prime (145193) and next prime (145207).

It is a hoax number, since the sum of its digits (12) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (145207) by changing a digit.

145200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13195 + ... + 13205.

2¹⁴⁵²⁰⁰ is an apocalyptic number.

145200 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 145200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255626).

145200 is an abundant number, since it is smaller than the sum of its proper divisors (366052).

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

145200 is a wasteful number, since it uses less digits than its factorization.

145200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 145200 is about 381.0511776652. The cubic root of 145200 is about 52.5600220549.

Multiplying 145200 by its sum of digits (12), we get a square (1742400 = 1320²).

145200 divided by its sum of digits (12) gives a square (12100 = 110²).

Adding to 145200 its reverse (2541), we get a palindrome (147741).

The spelling of 145200 in words is "one hundred forty-five thousand, two hundred".