146140164864 has 108 divisors (see below), whose sum is σ = 423168081336. Its totient is φ = 48504139776.

The previous prime is 146140164839. The next prime is 146140164883. The reversal of 146140164864 is 468461041641.

It is a happy number.

146140164864 is a `hidden beast` number, since 14 + 6 + 140 + 16 + 486 + 4 = 666.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 400719 + ... + 672945.

Almost surely, 2^146140164864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146140164864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211584040668).

146140164864 is an abundant number, since it is smaller than the sum of its proper divisors (277027916472).

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

146140164864 is a wasteful number, since it uses less digits than its factorization.

146140164864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272482 (or 272465 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 146140164864 in words is "one hundred forty-six billion, one hundred forty million, one hundred sixty-four thousand, eight hundred sixty-four".