146548416 has 168 divisors, whose sum is σ = 464338416. Its totient is φ = 40642560.

The previous prime is 146548403. The next prime is 146548469. The reversal of 146548416 is 614845641.

146548416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 347886 + ... + 348306.

Almost surely, 2^146548416 is an apocalyptic number.

146548416 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 146548416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232169208).

146548416 is an abundant number, since it is smaller than the sum of its proper divisors (317790000).

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

146548416 is a wasteful number, since it uses less digits than its factorization.

146548416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 470 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 146548416 is about 12105.7183182164. The cubic root of 146548416 is about 527.2222249184. Note that the first 5 decimals are identical.

The spelling of 146548416 in words is "one hundred forty-six million, five hundred forty-eight thousand, four hundred sixteen".