145305200 has 120 divisors (see below), whose sum is σ = 365333760. Its totient is φ = 55494400.

The previous prime is 145305163. The next prime is 145305211. The reversal of 145305200 is 2503541.

It is a super-2 number, since 2×145305200² = 42227202294080000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1109135 + ... + 1109265.

It is an arithmetic number, because the mean of its divisors is an integer number (3044448).

Almost surely, 2^145305200 is an apocalyptic number.

145305200 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 145305200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182666880).

145305200 is an abundant number, since it is smaller than the sum of its proper divisors (220028560).

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

145305200 is a wasteful number, since it uses less digits than its factorization.

145305200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 145305200 is about 12054.2606575435. The cubic root of 145305200 is about 525.7271254966.

Adding to 145305200 its reverse (2503541), we get a palindrome (147808741).

The spelling of 145305200 in words is "one hundred forty-five million, three hundred five thousand, two hundred".