146038966120 has 64 divisors (see below), whose sum is σ = 333041829120. Its totient is φ = 57628061184.

The previous prime is 146038966079. The next prime is 146038966217. The reversal of 146038966120 is 21669830641.

146038966120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1016172 + ... + 1150948.

It is an arithmetic number, because the mean of its divisors is an integer number (5203778580).

Almost surely, 2^146038966120 is an apocalyptic number.

146038966120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146038966120 is an abundant number, since it is smaller than the sum of its proper divisors (187002863000).

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

146038966120 is a wasteful number, since it uses less digits than its factorization.

146038966120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135154 (or 135150 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The spelling of 146038966120 in words is "one hundred forty-six billion, thirty-eight million, nine hundred sixty-six thousand, one hundred twenty".