145200100 has 36 divisors (see below), whose sum is σ = 325955700. Its totient is φ = 56076160.

The previous prime is 145200067. The next prime is 145200113. The reversal of 145200100 is 1002541.

145200100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 45796 + 145154304 = 214^2 + 12048^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22135 + ... + 27934.

It is an arithmetic number, because the mean of its divisors is an integer number (9054325).

Almost surely, 2^145200100 is an apocalyptic number.

145200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145200100 is an abundant number, since it is smaller than the sum of its proper divisors (180755600).

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

145200100 is a wasteful number, since it uses less digits than its factorization.

145200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50112 (or 50105 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 145200100 is about 12049.9004145263. The cubic root of 145200100 is about 525.6003412107.

Adding to 145200100 its reverse (1002541), we get a palindrome (146202641).

The spelling of 145200100 in words is "one hundred forty-five million, two hundred thousand, one hundred".