146455200 has 108 divisors (see below), whose sum is σ = 516463038. Its totient is φ = 39052800.

The previous prime is 146455193. The next prime is 146455201. The reversal of 146455200 is 2554641.

146455200 is a `hidden beast` number, since 1 + 4 + 6 + 455 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 116380944 + 30074256 = 10788^2 + 5484^2 .

It is not an unprimeable number, because it can be changed into a prime (146455201) 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 17 ways as a sum of consecutive naturals, for example, 2971 + ... + 17370.

Almost surely, 2^146455200 is an apocalyptic number.

146455200 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 146455200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258231519).

146455200 is an abundant number, since it is smaller than the sum of its proper divisors (370007838).

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

146455200 is a wasteful number, since it uses less digits than its factorization.

146455200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20367 (or 20351 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 146455200 is about 12101.8676244619. The cubic root of 146455200 is about 527.1104166572.

The spelling of 146455200 in words is "one hundred forty-six million, four hundred fifty-five thousand, two hundred".