146400 has 72 divisors (see below), whose sum is σ = 484344. Its totient is φ = 38400.

The previous prime is 146389. The next prime is 146407. The reversal of 146400 is 4641.

146400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 146400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146407) by changing a digit.

146400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2370 + ... + 2430.

It is an arithmetic number, because the mean of its divisors is an integer number (6727).

2¹⁴⁶⁴⁰⁰ is an apocalyptic number.

146400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242172).

146400 is an abundant number, since it is smaller than the sum of its proper divisors (337944).

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

146400 is a wasteful number, since it uses less digits than its factorization.

146400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 146400 is about 382.6225293942. The cubic root of 146400 is about 52.7044184455.

The spelling of 146400 in words is "one hundred forty-six thousand, four hundred".