146310000 has 100 divisors (see below), whose sum is σ = 472405032. Its totient is φ = 39008000.

The previous prime is 146309971. The next prime is 146310067. The reversal of 146310000 is 13641.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×146310000² = 42813232200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27562 + ... + 32438.

Almost surely, 2^146310000 is an apocalyptic number.

146310000 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 146310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236202516).

146310000 is an abundant number, since it is smaller than the sum of its proper divisors (326095032).

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

146310000 is an equidigital number, since it uses as much as digits as its factorization.

146310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4908 (or 4887 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 146310000 is about 12095.8670627616. The cubic root of 146310000 is about 526.9361614585.

Adding to 146310000 its reverse (13641), we get a palindrome (146323641).

The spelling of 146310000 in words is "one hundred forty-six million, three hundred ten thousand".