146828148160 has 56 divisors (see below), whose sum is σ = 351465221376. Its totient is φ = 58423741440.

The previous prime is 146828148109. The next prime is 146828148163. The reversal of 146828148160 is 61841828641.

146828148160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×146828148160² (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 (146828148163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1140027 + ... + 1262266.

Almost surely, 2^146828148160 is an apocalyptic number.

146828148160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146828148160 is an abundant number, since it is smaller than the sum of its proper divisors (204637073216).

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

146828148160 is a wasteful number, since it uses less digits than its factorization.

146828148160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2402501 (or 2402491 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 49.

The spelling of 146828148160 in words is "one hundred forty-six billion, eight hundred twenty-eight million, one hundred forty-eight thousand, one hundred sixty".