146948 has 12 divisors (see below), whose sum is σ = 272412. Its totient is φ = 69120.

The previous prime is 146941. The next prime is 146953. The reversal of 146948 is 849641.

It can be written as a sum of positive squares in 2 ways, for example, as 103684 + 43264 = 322^2 + 208^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 146948.

It is not an unprimeable number, because it can be changed into a prime (146941) by changing a digit.

146948 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1013 + ... + 1148.

It is an arithmetic number, because the mean of its divisors is an integer number (22701).

2¹⁴⁶⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

146948 is a deficient number, since it is larger than the sum of its proper divisors (125464).

146948 is a wasteful number, since it uses less digits than its factorization.

146948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182 (or 2180 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 146948 is about 383.3379709864. The cubic root of 146948 is about 52.7700970869.

The spelling of 146948 in words is "one hundred forty-six thousand, nine hundred forty-eight".