146468160 has 84 divisors (see below), whose sum is σ = 503799348. Its totient is φ = 39057408.

The previous prime is 146468143. The next prime is 146468167. The reversal of 146468160 is 61864641.

146468160 is a `hidden beast` number, since 1 + 4 + 646 + 8 + 1 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25644096 + 120824064 = 5064^2 + 10992^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146468167) 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 11 ways as a sum of consecutive naturals, for example, 22549 + ... + 28308.

Almost surely, 2^146468160 is an apocalyptic number.

146468160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146468160 is an abundant number, since it is smaller than the sum of its proper divisors (357331188).

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

146468160 is a wasteful number, since it uses less digits than its factorization.

146468160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50880 (or 50867 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 146468160 is about 12102.4030671598. The cubic root of 146468160 is about 527.1259644140.

The spelling of 146468160 in words is "one hundred forty-six million, four hundred sixty-eight thousand, one hundred sixty".