146681220 has 48 divisors (see below), whose sum is σ = 469381248. Its totient is φ = 33527040.

The previous prime is 146681207. The next prime is 146681221. The reversal of 146681220 is 22186641.

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 (146681221) 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 15 ways as a sum of consecutive naturals, for example, 174201 + ... + 175040.

It is an arithmetic number, because the mean of its divisors is an integer number (9778776).

Almost surely, 2^146681220 is an apocalyptic number.

146681220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146681220 is an abundant number, since it is smaller than the sum of its proper divisors (322700028).

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

146681220 is a wasteful number, since it uses less digits than its factorization.

146681220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349260 (or 349258 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 146681220 is about 12111.2022524603. The cubic root of 146681220 is about 527.3814352844.

The spelling of 146681220 in words is "one hundred forty-six million, six hundred eighty-one thousand, two hundred twenty".