146204448 has 96 divisors (see below), whose sum is σ = 416134656. Its totient is φ = 44679168.

The previous prime is 146204413. The next prime is 146204453. The reversal of 146204448 is 844402641.

146204448 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×146204448² = 42751481229969408, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 240561 + ... + 241167.

It is an arithmetic number, because the mean of its divisors is an integer number (4334736).

Almost surely, 2^146204448 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 146204448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208067328).

146204448 is an abundant number, since it is smaller than the sum of its proper divisors (269930208).

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

146204448 is a wasteful number, since it uses less digits than its factorization.

146204448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 146204448 is about 12091.5031323653. The cubic root of 146204448 is about 526.8094156308.

The spelling of 146204448 in words is "one hundred forty-six million, two hundred four thousand, four hundred forty-eight".