146314000 has 120 divisors (see below), whose sum is σ = 411824088. Its totient is φ = 50131200.

The previous prime is 146313989. The next prime is 146314009. The reversal of 146314000 is 413641.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 784 + 146313216 = 28^2 + 12096^2 .

It is not an unprimeable number, because it can be changed into a prime (146314009) 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, 97254 + ... + 98746.

Almost surely, 2^146314000 is an apocalyptic number.

146314000 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 146314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205912044).

146314000 is an abundant number, since it is smaller than the sum of its proper divisors (265510088).

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

146314000 is a wasteful number, since it uses less digits than its factorization.

146314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 146314000 is about 12096.0324073640. The cubic root of 146314000 is about 526.9409634211.

Adding to 146314000 its reverse (413641), we get a palindrome (146727641).

The spelling of 146314000 in words is "one hundred forty-six million, three hundred fourteen thousand".