146368000 has 80 divisors (see below), whose sum is σ = 365137344. Its totient is φ = 58521600.

The previous prime is 146367997. The next prime is 146368009. The reversal of 146368000 is 863641.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 146368000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146368009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62857 + ... + 65143.

Almost surely, 2^146368000 is an apocalyptic number.

146368000 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 146368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182568672).

146368000 is an abundant number, since it is smaller than the sum of its proper divisors (218769344).

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

146368000 is an frugal number, since it uses more digits than its factorization.

146368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2320 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 146368000 is about 12098.2643383256. The cubic root of 146368000 is about 527.0057813518.

The spelling of 146368000 in words is "one hundred forty-six million, three hundred sixty-eight thousand".