146820 has 24 divisors (see below), whose sum is σ = 411264. Its totient is φ = 39136.

The previous prime is 146819. The next prime is 146833. The reversal of 146820 is 28641.

It is a super-2 number, since 2×146820² = 43112224800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1164 + ... + 1283.

It is an arithmetic number, because the mean of its divisors is an integer number (17136).

2¹⁴⁶⁸²⁰ is an apocalyptic number.

146820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146820 is an abundant number, since it is smaller than the sum of its proper divisors (264444).

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

146820 is a wasteful number, since it uses less digits than its factorization.

146820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2459 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 146820 is about 383.1709801120. The cubic root of 146820 is about 52.7547707252.

The spelling of 146820 in words is "one hundred forty-six thousand, eight hundred twenty".