146030800 has 60 divisors (see below), whose sum is σ = 352952236. Its totient is φ = 58060800.

The previous prime is 146030783. The next prime is 146030803. The reversal of 146030800 is 8030641.

It can be written as a sum of positive squares in 6 ways, for example, as 12027024 + 134003776 = 3468^2 + 11576^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146030803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71392 + ... + 73408.

Almost surely, 2^146030800 is an apocalyptic number.

146030800 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 146030800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176476118).

146030800 is an abundant number, since it is smaller than the sum of its proper divisors (206921436).

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

146030800 is a wasteful number, since it uses less digits than its factorization.

146030800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216 (or 2205 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 146030800 is about 12084.3204194526. The cubic root of 146030800 is about 526.6007679837.

The spelling of 146030800 in words is "one hundred forty-six million, thirty thousand, eight hundred".