146327120 has 20 divisors (see below), whose sum is σ = 340210740. Its totient is φ = 58530816.

The previous prime is 146327087. The next prime is 146327141. The reversal of 146327120 is 21723641.

It can be written as a sum of positive squares in 2 ways, for example, as 99760144 + 46566976 = 9988^2 + 6824^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 146327120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 914465 + ... + 914624.

It is an arithmetic number, because the mean of its divisors is an integer number (17010537).

Almost surely, 2^146327120 is an apocalyptic number.

146327120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146327120 is an abundant number, since it is smaller than the sum of its proper divisors (193883620).

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

146327120 is a wasteful number, since it uses less digits than its factorization.

146327120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829102 (or 1829096 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 146327120 is about 12096.5747217962. The cubic root of 146327120 is about 526.9567132441.

The spelling of 146327120 in words is "one hundred forty-six million, three hundred twenty-seven thousand, one hundred twenty".