146364 has 12 divisors (see below), whose sum is σ = 341544. Its totient is φ = 48784.

The previous prime is 146359. The next prime is 146369. The reversal of 146364 is 463641.

It is an interprime number because it is at equal distance from previous prime (146359) and next prime (146369).

It is a tau number, because it is divible by the number of its divisors (12).

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

It is a plaindrome in base 16.

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 146364.

It is not an unprimeable number, because it can be changed into a prime (146369) by changing a digit.

146364 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 (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6087 + ... + 6110.

It is an arithmetic number, because the mean of its divisors is an integer number (28462).

2¹⁴⁶³⁶⁴ is an apocalyptic number.

It is an amenable number.

146364 is an abundant number, since it is smaller than the sum of its proper divisors (195180).

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

146364 is a wasteful number, since it uses less digits than its factorization.

146364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12204 (or 12202 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 146364 is about 382.5754827482. The cubic root of 146364 is about 52.7000980570.

The spelling of 146364 in words is "one hundred forty-six thousand, three hundred sixty-four".