146643000 has 128 divisors (see below), whose sum is σ = 522961920. Its totient is φ = 33513600.

The previous prime is 146642999. The next prime is 146643001. The reversal of 146643000 is 346641.

It is an interprime number because it is at equal distance from previous prime (146642999) and next prime (146643001).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146643001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17509 + ... + 24491.

It is an arithmetic number, because the mean of its divisors is an integer number (4085640).

Almost surely, 2^146643000 is an apocalyptic number.

146643000 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 146643000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261480960).

146643000 is an abundant number, since it is smaller than the sum of its proper divisors (376318920).

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

146643000 is a wasteful number, since it uses less digits than its factorization.

146643000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7014 (or 7000 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 146643000 is about 12109.6242716279. The cubic root of 146643000 is about 527.3356255813.

Adding to 146643000 its reverse (346641), we get a palindrome (146989641).

The spelling of 146643000 in words is "one hundred forty-six million, six hundred forty-three thousand".