145231200 has 216 divisors, whose sum is σ = 534997008. Its totient is φ = 37002240.

The previous prime is 145231199. The next prime is 145231201. The reversal of 145231200 is 2132541.

It is an interprime number because it is at equal distance from previous prime (145231199) and next prime (145231201).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145231201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 165162 + ... + 166038.

It is an arithmetic number, because the mean of its divisors is an integer number (2476838).

Almost surely, 2^145231200 is an apocalyptic number.

145231200 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 145231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267498504).

145231200 is an abundant number, since it is smaller than the sum of its proper divisors (389765808).

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

145231200 is a wasteful number, since it uses less digits than its factorization.

145231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 145231200 is about 12051.1908125297. The cubic root of 145231200 is about 525.6378641502.

Adding to 145231200 its reverse (2132541), we get a palindrome (147363741).

The spelling of 145231200 in words is "one hundred forty-five million, two hundred thirty-one thousand, two hundred".