146016672 has 144 divisors (see below), whose sum is σ = 430143840. Its totient is φ = 43241472.

The previous prime is 146016667. The next prime is 146016701. The reversal of 146016672 is 276610641.

146016672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 526998 + ... + 527274.

It is an arithmetic number, because the mean of its divisors is an integer number (2987110).

Almost surely, 2^146016672 is an apocalyptic number.

146016672 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 146016672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215071920).

146016672 is an abundant number, since it is smaller than the sum of its proper divisors (284127168).

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

146016672 is a wasteful number, since it uses less digits than its factorization.

146016672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 146016672 is about 12083.7358461694. The cubic root of 146016672 is about 526.5837851381.

The spelling of 146016672 in words is "one hundred forty-six million, sixteen thousand, six hundred seventy-two".