146484300 has 144 divisors (see below), whose sum is σ = 461081600. Its totient is φ = 35769600.

The previous prime is 146484277. The next prime is 146484301. The reversal of 146484300 is 3484641.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (146484301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176286 + ... + 177114.

Almost surely, 2^146484300 is an apocalyptic number.

146484300 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 146484300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230540800).

146484300 is an abundant number, since it is smaller than the sum of its proper divisors (314597300).

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

146484300 is a wasteful number, since it uses less digits than its factorization.

146484300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 146484300 is about 12103.0698585111. The cubic root of 146484300 is about 527.1453258474.

The spelling of 146484300 in words is "one hundred forty-six million, four hundred eighty-four thousand, three hundred".