146628000 has 144 divisors (see below), whose sum is σ = 520510536. Its totient is φ = 39091200.

The previous prime is 146627983. The next prime is 146628007. The reversal of 146628000 is 826641.

146628000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 16941456 + 129686544 = 4116^2 + 11388^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (146628007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33964 + ... + 38036.

Almost surely, 2^146628000 is an apocalyptic number.

146628000 is a gapful number since it is divisible by the number (10) 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 146628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260255268).

146628000 is an abundant number, since it is smaller than the sum of its proper divisors (373882536).

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

146628000 is a wasteful number, since it uses less digits than its factorization.

146628000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4104 (or 4083 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 146628000 is about 12109.0049136996. The cubic root of 146628000 is about 527.3176447160.

The spelling of 146628000 in words is "one hundred forty-six million, six hundred twenty-eight thousand".