146203824 has 160 divisors (see below), whose sum is σ = 433972224. Its totient is φ = 42071040.

The previous prime is 146203823. The next prime is 146203831. The reversal of 146203824 is 428302641.

146203824 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 146203791 and 146203800.

It is not an unprimeable number, because it can be changed into a prime (146203823) 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 31 ways as a sum of consecutive naturals, for example, 875389 + ... + 875555.

Almost surely, 2^146203824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146203824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216986112).

146203824 is an abundant number, since it is smaller than the sum of its proper divisors (287768400).

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

146203824 is a wasteful number, since it uses less digits than its factorization.

146203824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 146203824 is about 12091.4773290942. The cubic root of 146203824 is about 526.8086661563.

The spelling of 146203824 in words is "one hundred forty-six million, two hundred three thousand, eight hundred twenty-four".