146867472 has 80 divisors (see below), whose sum is σ = 425568000. Its totient is φ = 48491136.

The previous prime is 146867447. The next prime is 146867477. The reversal of 146867472 is 274768641.

It is not an unprimeable number, because it can be changed into a prime (146867477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45529 + ... + 48647.

It is an arithmetic number, because the mean of its divisors is an integer number (5319600).

Almost surely, 2^146867472 is an apocalyptic number.

146867472 is a gapful number since it is divisible by the number (12) 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 146867472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212784000).

146867472 is an abundant number, since it is smaller than the sum of its proper divisors (278700528).

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

146867472 is a wasteful number, since it uses less digits than its factorization.

146867472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3245 (or 3233 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 146867472 is about 12118.8890579954. The cubic root of 146867472 is about 527.6045592842.

The spelling of 146867472 in words is "one hundred forty-six million, eight hundred sixty-seven thousand, four hundred seventy-two".