146688 has 36 divisors (see below), whose sum is σ = 392448. Its totient is φ = 48640.

The previous prime is 146683. The next prime is 146701. The reversal of 146688 is 886641.

It is a Cunningham number, because it is equal to 383²-1.

It is a super-4 number, since 4×146688⁴ (a number of 22 digits) contains 4444 as substring.

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

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146681) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 673 + ... + 863.

2¹⁴⁶⁶⁸⁸ 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 146688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196224).

146688 is an abundant number, since it is smaller than the sum of its proper divisors (245760).

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

146688 is an equidigital number, since it uses as much as digits as its factorization.

146688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 196 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 146688 is about 382.9986945147. The cubic root of 146688 is about 52.7389560821.

The spelling of 146688 in words is "one hundred forty-six thousand, six hundred eighty-eight".