146906212005 has 256 divisors, whose sum is σ = 323592192000. Its totient is φ = 61737645312.

The previous prime is 146906212003. The next prime is 146906212027. The reversal of 146906212005 is 500212609641.

146906212005 is a `hidden beast` number, since 1 + 4 + 6 + 9 + 0 + 621 + 20 + 0 + 5 = 666.

It is not a de Polignac number, because 146906212005 - 2¹ = 146906212003 is a prime.

It is a super-2 number, since 2×146906212005² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146906212003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 138199104 + ... + 138200166.

It is an arithmetic number, because the mean of its divisors is an integer number (1264032000).

Almost surely, 2^146906212005 is an apocalyptic number.

146906212005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

146906212005 is an abundant number, since it is smaller than the sum of its proper divisors (176685979995).

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

146906212005 is a wasteful number, since it uses less digits than its factorization.

146906212005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 146906212005 in words is "one hundred forty-six billion, nine hundred six million, two hundred twelve thousand, five".