146820060387 has 288 divisors, whose sum is σ = 306957530880. Its totient is φ = 66359139840.

The previous prime is 146820060371. The next prime is 146820060391. The reversal of 146820060387 is 783060028641.

146820060387 is a `hidden beast` number, since 1 + 4 + 6 + 8 + 200 + 60 + 387 = 666.

It is not a de Polignac number, because 146820060387 - 2⁴ = 146820060371 is a prime.

It is a super-2 number, since 2×146820060387² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (146820062387) 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 287 ways as a sum of consecutive naturals, for example, 78638628 + ... + 78640494.

It is an arithmetic number, because the mean of its divisors is an integer number (1065824760).

Almost surely, 2^146820060387 is an apocalyptic number.

146820060387 is an abundant number, since it is smaller than the sum of its proper divisors (160137470493).

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

146820060387 is a wasteful number, since it uses less digits than its factorization.

146820060387 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983 (or 1973 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 146820060387 in words is "one hundred forty-six billion, eight hundred twenty million, sixty thousand, three hundred eighty-seven".