146672416 has 48 divisors (see below), whose sum is σ = 322727328. Its totient is φ = 65036800.

The previous prime is 146672399. The next prime is 146672417. The reversal of 146672416 is 614276641.

It is not an unprimeable number, because it can be changed into a prime (146672417) 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 7 ways as a sum of consecutive naturals, for example, 9351 + ... + 19513.

It is an arithmetic number, because the mean of its divisors is an integer number (6723486).

Almost surely, 2^146672416 is an apocalyptic number.

146672416 is a gapful number since it is divisible by the number (16) 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 146672416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161363664).

146672416 is an abundant number, since it is smaller than the sum of its proper divisors (176054912).

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

146672416 is a wasteful number, since it uses less digits than its factorization.

146672416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10225 (or 10217 counting only the distinct ones).

The product of its digits is 48384, while the sum is 37.

The square root of 146672416 is about 12110.8387818516. The cubic root of 146672416 is about 527.3708836971.

The spelling of 146672416 in words is "one hundred forty-six million, six hundred seventy-two thousand, four hundred sixteen".