146181420 has 288 divisors, whose sum is σ = 566092800. Its totient is φ = 29652480.

The previous prime is 146181407. The next prime is 146181443. The reversal of 146181420 is 24181641.

It is a happy number.

146181420 is a `hidden beast` number, since 1 + 4 + 618 + 1 + 42 + 0 = 666.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 734481 + ... + 734679.

It is an arithmetic number, because the mean of its divisors is an integer number (1965600).

Almost surely, 2^146181420 is an apocalyptic number.

146181420 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 146181420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283046400).

146181420 is an abundant number, since it is smaller than the sum of its proper divisors (419911380).

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

146181420 is a wasteful number, since it uses less digits than its factorization.

146181420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 146181420 is about 12090.5508559370. The cubic root of 146181420 is about 526.7817557241.

The spelling of 146181420 in words is "one hundred forty-six million, one hundred eighty-one thousand, four hundred twenty".