145335200 has 36 divisors (see below), whose sum is σ = 354801510. Its totient is φ = 58133760.

The previous prime is 145335191. The next prime is 145335209. The reversal of 145335200 is 2533541.

It is an interprime number because it is at equal distance from previous prime (145335191) and next prime (145335209).

It can be written as a sum of positive squares in 3 ways, for example, as 85303696 + 60031504 = 9236^2 + 7748^2 .

It is a super-2 number, since 2×145335200² = 42244640718080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145335209) 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 5 ways as a sum of consecutive naturals, for example, 90035 + ... + 91634.

Almost surely, 2^145335200 is an apocalyptic number.

145335200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145335200 is an abundant number, since it is smaller than the sum of its proper divisors (209466310).

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

145335200 is a wasteful number, since it uses less digits than its factorization.

145335200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181689 (or 181676 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 145335200 is about 12055.5049666117. The cubic root of 145335200 is about 525.7633038955.

Adding to 145335200 its reverse (2533541), we get a palindrome (147868741).

The spelling of 145335200 in words is "one hundred forty-five million, three hundred thirty-five thousand, two hundred".