146842800 has 120 divisors (see below), whose sum is σ = 506623824. Its totient is φ = 36142080.

The previous prime is 146842777. The next prime is 146842831. The reversal of 146842800 is 8248641.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10894 + ... + 20306.

Almost surely, 2^146842800 is an apocalyptic number.

146842800 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 146842800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253311912).

146842800 is an abundant number, since it is smaller than the sum of its proper divisors (359781024).

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

146842800 is a wasteful number, since it uses less digits than its factorization.

146842800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9447 (or 9436 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 146842800 is about 12117.8711001562. The cubic root of 146842800 is about 527.5750138523.

The spelling of 146842800 in words is "one hundred forty-six million, eight hundred forty-two thousand, eight hundred".