146763328 has 56 divisors (see below), whose sum is σ = 301093632. Its totient is φ = 70938624.

The previous prime is 146763317. The next prime is 146763341. The reversal of 146763328 is 823367641.

146763328 is digitally balanced in base 2, 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 7 ways as a sum of consecutive naturals, for example, 291525 + ... + 292027.

It is an arithmetic number, because the mean of its divisors is an integer number (5376672).

Almost surely, 2^146763328 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 146763328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150546816).

146763328 is an abundant number, since it is smaller than the sum of its proper divisors (154330304).

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

146763328 is an equidigital number, since it uses as much as digits as its factorization.

146763328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 649 counting only the distinct ones).

The product of its digits is 145152, while the sum is 40.

The square root of 146763328 is about 12114.5915325280. The cubic root of 146763328 is about 527.4798213345.

The spelling of 146763328 in words is "one hundred forty-six million, seven hundred sixty-three thousand, three hundred twenty-eight".