146146320 has 60 divisors (see below), whose sum is σ = 490810476. Its totient is φ = 38972160.

The previous prime is 146146313. The next prime is 146146321. The reversal of 146146320 is 23641641.

146146320 is a `hidden beast` number, since 14 + 6 + 14 + 632 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41370624 + 104775696 = 6432^2 + 10236^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (146146321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100771 + ... + 102210.

Almost surely, 2^146146320 is an apocalyptic number.

146146320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146146320 is an abundant number, since it is smaller than the sum of its proper divisors (344664156).

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

146146320 is a wasteful number, since it uses less digits than its factorization.

146146320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203000 (or 202991 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 146146320 is about 12089.0992220264. The cubic root of 146146320 is about 526.7395900377.

Adding to 146146320 its reverse (23641641), we get a palindrome (169787961).

The spelling of 146146320 in words is "one hundred forty-six million, one hundred forty-six thousand, three hundred twenty".