145284300 has 144 divisors (see below), whose sum is σ = 533854720. Its totient is φ = 33203520.

The previous prime is 145284283. The next prime is 145284301. The reversal of 145284300 is 3482541.

It is a super-2 number, since 2×145284300² = 42215055652980000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (145284301) 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 47 ways as a sum of consecutive naturals, for example, 15057 + ... + 22743.

Almost surely, 2^145284300 is an apocalyptic number.

145284300 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 145284300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266927360).

145284300 is an abundant number, since it is smaller than the sum of its proper divisors (388570420).

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

145284300 is a wasteful number, since it uses less digits than its factorization.

145284300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7717 (or 7704 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 145284300 is about 12053.3937129756. The cubic root of 145284300 is about 525.7019182689.

The spelling of 145284300 in words is "one hundred forty-five million, two hundred eighty-four thousand, three hundred".