146865232900 has 81 divisors (see below), whose sum is σ = 336520771839. Its totient is φ = 55626600960.

The previous prime is 146865232889. The next prime is 146865232993. The reversal of 146865232900 is 9232568641.

The square root of 146865232900 is 383230.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 8296659396 + 138568573504 = 91086^2 + 372248^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 72812692 + ... + 72814708.

Almost surely, 2^146865232900 is an apocalyptic number.

146865232900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

146865232900 is the 383230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146865232900

146865232900 is an abundant number, since it is smaller than the sum of its proper divisors (189655538939).

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

146865232900 is an equidigital number, since it uses as much as digits as its factorization.

146865232900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4086 (or 2043 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 146865232900 in words is "one hundred forty-six billion, eight hundred sixty-five million, two hundred thirty-two thousand, nine hundred".