146416212 has 36 divisors (see below), whose sum is σ = 373513140. Its totient is φ = 48356352.

The previous prime is 146416201. The next prime is 146416213. The reversal of 146416212 is 212614641.

146416212 is a `hidden beast` number, since 1 + 4 + 641 + 6 + 2 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 130782096 + 15634116 = 11436^2 + 3954^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146416213) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 14733 + ... + 22580.

It is an arithmetic number, because the mean of its divisors is an integer number (10375365).

Almost surely, 2^146416212 is an apocalyptic number.

146416212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146416212 is an abundant number, since it is smaller than the sum of its proper divisors (227096928).

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

146416212 is a wasteful number, since it uses less digits than its factorization.

146416212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37432 (or 37427 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 146416212 is about 12100.2566914921. The cubic root of 146416212 is about 527.0636382912.

The spelling of 146416212 in words is "one hundred forty-six million, four hundred sixteen thousand, two hundred twelve".