146829800 has 48 divisors (see below), whose sum is σ = 367645740. Its totient is φ = 54213120.

The previous prime is 146829779. The next prime is 146829817. The reversal of 146829800 is 8928641.

146829800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 40780996 + 106048804 = 6386^2 + 10298^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25637 + ... + 30836.

Almost surely, 2^146829800 is an apocalyptic number.

146829800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146829800 is an abundant number, since it is smaller than the sum of its proper divisors (220815940).

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

146829800 is a wasteful number, since it uses less digits than its factorization.

146829800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56502 (or 56493 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 146829800 is about 12117.3346904342. The cubic root of 146829800 is about 527.5594446459.

The spelling of 146829800 in words is "one hundred forty-six million, eight hundred twenty-nine thousand, eight hundred".