145705200 has 60 divisors (see below), whose sum is σ = 466746168. Its totient is φ = 38854400.

The previous prime is 145705169. The next prime is 145705201. The reversal of 145705200 is 2507541.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145705201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59511 + ... + 61910.

Almost surely, 2^145705200 is an apocalyptic number.

145705200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145705200 is an abundant number, since it is smaller than the sum of its proper divisors (321040968).

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

145705200 is a wasteful number, since it uses less digits than its factorization.

145705200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121442 (or 121431 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 145705200 is about 12070.8408986284. The cubic root of 145705200 is about 526.2090953550.

The spelling of 145705200 in words is "one hundred forty-five million, seven hundred five thousand, two hundred".