146270208 has 192 divisors, whose sum is σ = 471744000. Its totient is φ = 39370752.

The previous prime is 146270207. The next prime is 146270233. The reversal of 146270208 is 802072641.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (146270203) 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 15 ways as a sum of consecutive naturals, for example, 817063 + ... + 817241.

It is an arithmetic number, because the mean of its divisors is an integer number (2457000).

Almost surely, 2^146270208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146270208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235872000).

146270208 is an abundant number, since it is smaller than the sum of its proper divisors (325473792).

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

146270208 is a wasteful number, since it uses less digits than its factorization.

146270208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 146270208 is about 12094.2220915609. Note that the first 3 decimals coincide. The cubic root of 146270208 is about 526.8883867680. Note that the first 3 decimals are identical.

The spelling of 146270208 in words is "one hundred forty-six million, two hundred seventy thousand, two hundred eight".