146196 has 36 divisors (see below), whose sum is σ = 384384. Its totient is φ = 46800.

The previous prime is 146191. The next prime is 146197. The reversal of 146196 is 691641.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 146196.

It is not an unprimeable number, because it can be changed into a prime (146191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1051 + ... + 1181.

2¹⁴⁶¹⁹⁶ 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 146196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192192).

146196 is an abundant number, since it is smaller than the sum of its proper divisors (238188).

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

146196 is a wasteful number, since it uses less digits than its factorization.

146196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 167 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 146196 is about 382.3558551925. The cubic root of 146196 is about 52.6799268717.

The spelling of 146196 in words is "one hundred forty-six thousand, one hundred ninety-six".