146271464000 has 56 divisors (see below), whose sum is σ = 362241300408. Its totient is φ = 58508582400.

The previous prime is 146271463973. The next prime is 146271464021. The reversal of 146271464000 is 464172641.

It can be written as a sum of positive squares in 4 ways, for example, as 23348224 + 146248115776 = 4832^2 + 382424^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9133967 + ... + 9149966.

Almost surely, 2^146271464000 is an apocalyptic number.

146271464000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146271464000 is an abundant number, since it is smaller than the sum of its proper divisors (215969836408).

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

146271464000 is an equidigital number, since it uses as much as digits as its factorization.

146271464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18283960 (or 18283940 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The spelling of 146271464000 in words is "one hundred forty-six billion, two hundred seventy-one million, four hundred sixty-four thousand".