146628864 has 108 divisors (see below), whose sum is σ = 441307776. Its totient is φ = 46734336.

The previous prime is 146628863. The next prime is 146628877. The reversal of 146628864 is 468826641.

146628864 is a `hidden beast` number, since 14 + 6 + 628 + 8 + 6 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (146628863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51609 + ... + 54375.

Almost surely, 2^146628864 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 146628864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220653888).

146628864 is an abundant number, since it is smaller than the sum of its proper divisors (294678912).

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

146628864 is a wasteful number, since it uses less digits than its factorization.

146628864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2812 (or 2795 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 146628864 is about 12109.0405895760. The cubic root of 146628864 is about 527.3186804471.

The spelling of 146628864 in words is "one hundred forty-six million, six hundred twenty-eight thousand, eight hundred sixty-four".