146484 has 36 divisors (see below), whose sum is σ = 400036. Its totient is φ = 44928.

The previous prime is 146477. The next prime is 146513. The reversal of 146484 is 484641.

146484 is a `hidden beast` number, since 14 + 648 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8100 + 138384 = 90^2 + 372^2 .

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

146484 is an undulating number in base 5.

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 146484.

It is an unprimeable number.

146484 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, 312 + ... + 624.

2¹⁴⁶⁴⁸⁴ 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 146484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200018).

146484 is an abundant number, since it is smaller than the sum of its proper divisors (253552).

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

146484 is a wasteful number, since it uses less digits than its factorization.

146484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 331 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 146484 is about 382.7322824116. The cubic root of 146484 is about 52.7144965982.

It can be divided in two parts, 146 and 484, that added together give a triangular number (630 = T₃₅).

The spelling of 146484 in words is "one hundred forty-six thousand, four hundred eighty-four".