146530000 has 50 divisors (see below), whose sum is σ = 354787994. Its totient is φ = 58608000.

The previous prime is 146529997. The next prime is 146530003. The reversal of 146530000 is 35641.

It is an interprime number because it is at equal distance from previous prime (146529997) and next prime (146530003).

It can be written as a sum of positive squares in 5 ways, for example, as 34762816 + 111767184 = 5896^2 + 10572^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a self number, because there is not a number n which added to its sum of digits gives 146530000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146530003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2674 + ... + 17326.

Almost surely, 2^146530000 is an apocalyptic number.

146530000 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 146530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177393997).

146530000 is an abundant number, since it is smaller than the sum of its proper divisors (208257994).

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

146530000 is an equidigital number, since it uses as much as digits as its factorization.

146530000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14681 (or 14660 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 146530000 is about 12104.9576620490. The cubic root of 146530000 is about 527.2001395410.

Adding to 146530000 its reverse (35641), we get a palindrome (146565641).

It can be divided in two parts, 1465 and 30000, that multiplied together give a triangular number (43950000 = T₉₃₇₅).

The spelling of 146530000 in words is "one hundred forty-six million, five hundred thirty thousand".