146612000 has 48 divisors (see below), whose sum is σ = 360235512. Its totient is φ = 58643200.

The previous prime is 146611979. The next prime is 146612003. The reversal of 146612000 is 216641.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 36529936 + 110082064 = 6044^2 + 10492^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (146612003) 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 7 ways as a sum of consecutive naturals, for example, 14327 + ... + 22326.

Almost surely, 2^146612000 is an apocalyptic number.

146612000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146612000 is an abundant number, since it is smaller than the sum of its proper divisors (213623512).

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

146612000 is an equidigital number, since it uses as much as digits as its factorization.

146612000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36678 (or 36660 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 146612000 is about 12108.3442303232. The cubic root of 146612000 is about 527.2984637746.

Adding to 146612000 its reverse (216641), we get a palindrome (146828641).

It can be divided in two parts, 14661 and 2000, that added together give a palindrome (16661).

The spelling of 146612000 in words is "one hundred forty-six million, six hundred twelve thousand".