146730160 has 80 divisors (see below), whose sum is σ = 368949600. Its totient is φ = 54079488.

The previous prime is 146730149. The next prime is 146730163. The reversal of 146730160 is 61037641.

146730160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (146730163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54936 + ... + 57544.

It is an arithmetic number, because the mean of its divisors is an integer number (4611870).

Almost surely, 2^146730160 is an apocalyptic number.

146730160 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 146730160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184474800).

146730160 is an abundant number, since it is smaller than the sum of its proper divisors (222219440).

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

146730160 is a wasteful number, since it uses less digits than its factorization.

146730160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2678 (or 2672 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 146730160 is about 12113.2225274697. Note that the first 3 decimals coincide. The cubic root of 146730160 is about 527.4400821411.

The spelling of 146730160 in words is "one hundred forty-six million, seven hundred thirty thousand, one hundred sixty".