146864554000 has 80 divisors (see below), whose sum is σ = 355252463280. Its totient is φ = 58723660800.

The previous prime is 146864553977. The next prime is 146864554033. The reversal of 146864554000 is 455468641.

It can be written as a sum of positive squares in 8 ways, for example, as 131313466384 + 15551087616 = 362372^2 + 124704^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 5925634 + ... + 5950366.

It is an arithmetic number, because the mean of its divisors is an integer number (4440655791).

Almost surely, 2^146864554000 is an apocalyptic number.

146864554000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146864554000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177626231640).

146864554000 is an abundant number, since it is smaller than the sum of its proper divisors (208387909280).

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

146864554000 is a wasteful number, since it uses less digits than its factorization.

146864554000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27725 (or 27709 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 43.

The spelling of 146864554000 in words is "one hundred forty-six billion, eight hundred sixty-four million, five hundred fifty-four thousand".