146006640 has 240 divisors, whose sum is σ = 556526880. Its totient is φ = 34007040.

The previous prime is 146006633. The next prime is 146006647. The reversal of 146006640 is 46600641.

146006640 is a `hidden beast` number, since 14 + 6 + 0 + 0 + 6 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (146006633) and next prime (146006647).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146006647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177430 + ... + 178250.

It is an arithmetic number, because the mean of its divisors is an integer number (2318862).

Almost surely, 2^146006640 is an apocalyptic number.

146006640 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 146006640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278263440).

146006640 is an abundant number, since it is smaller than the sum of its proper divisors (410520240).

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

146006640 is a wasteful number, since it uses less digits than its factorization.

146006640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 863 counting only the distinct ones).

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

The square root of 146006640 is about 12083.3207356256. The cubic root of 146006640 is about 526.5717253063.

The spelling of 146006640 in words is "one hundred forty-six million, six thousand, six hundred forty".