146232000 has 224 divisors, whose sum is σ = 537301440. Its totient is φ = 38937600.

The previous prime is 146231983. The next prime is 146232001. The reversal of 146232000 is 232641.

It is a happy number.

146232000 is a `hidden beast` number, since 1 + 462 + 3 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (146232001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215662 + ... + 216338.

Almost surely, 2^146232000 is an apocalyptic number.

146232000 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 146232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268650720).

146232000 is an abundant number, since it is smaller than the sum of its proper divisors (391069440).

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

146232000 is an equidigital number, since it uses as much as digits as its factorization.

146232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 146232000 is about 12092.6423911402. The cubic root of 146232000 is about 526.8425056897.

Adding to 146232000 its reverse (232641), we get a palindrome (146464641).

The spelling of 146232000 in words is "one hundred forty-six million, two hundred thirty-two thousand".