146068000 has 144 divisors (see below), whose sum is σ = 393925896. Its totient is φ = 52915200.

The previous prime is 146067989. The next prime is 146068003. The reversal of 146068000 is 860641.

It can be written as a sum of positive squares in 12 ways, for example, as 4648336 + 141419664 = 2156^2 + 11892^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (146068003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2755974 + ... + 2756026.

Almost surely, 2^146068000 is an apocalyptic number.

146068000 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 146068000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196962948).

146068000 is an abundant number, since it is smaller than the sum of its proper divisors (247857896).

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

146068000 is an equidigital number, since it uses as much as digits as its factorization.

146068000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 146068000 is about 12085.8595060509. The cubic root of 146068000 is about 526.6454797509.

The spelling of 146068000 in words is "one hundred forty-six million, sixty-eight thousand".