213054000 has 80 divisors (see below), whose sum is σ = 686905440. Its totient is φ = 56812800.

The previous prime is 213053989. The next prime is 213054007. The reversal of 213054000 is 450312.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (213054007) by changing a digit.

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, 11755 + ... + 23754.

It is an arithmetic number, because the mean of its divisors is an integer number (8586318).

Almost surely, 2^213054000 is an apocalyptic number.

213054000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213054000 is an abundant number, since it is smaller than the sum of its proper divisors (473851440).

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

213054000 is a wasteful number, since it uses less digits than its factorization.

213054000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35535 (or 35519 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 213054000 is about 14596.3694116037. The cubic root of 213054000 is about 597.2597261066.

The spelling of 213054000 in words is "two hundred thirteen million, fifty-four thousand".