146145000 has 80 divisors (see below), whose sum is σ = 456603840. Its totient is φ = 38968000.

The previous prime is 146144981. The next prime is 146145019. The reversal of 146145000 is 541641.

It is an interprime number because it is at equal distance from previous prime (146144981) and next prime (146145019).

It is a super-2 number, since 2×146145000² = 42716722050000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10129 + ... + 19871.

It is an arithmetic number, because the mean of its divisors is an integer number (5707548).

Almost surely, 2^146145000 is an apocalyptic number.

146145000 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 146145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228301920).

146145000 is an abundant number, since it is smaller than the sum of its proper divisors (310458840).

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

146145000 is an equidigital number, since it uses as much as digits as its factorization.

146145000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9772 (or 9753 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 146145000 is about 12089.0446272648. The cubic root of 146145000 is about 526.7380041879.

Adding to 146145000 its reverse (541641), we get a palindrome (146686641).

The spelling of 146145000 in words is "one hundred forty-six million, one hundred forty-five thousand".