213555144 has 128 divisors (see below), whose sum is σ = 602640000. Its totient is φ = 62515200.

The previous prime is 213555137. The next prime is 213555151. The reversal of 213555144 is 441555312.

It is an interprime number because it is at equal distance from previous prime (213555137) and next prime (213555151).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1433182 + ... + 1433330.

It is an arithmetic number, because the mean of its divisors is an integer number (4708125).

Almost surely, 2^213555144 is an apocalyptic number.

213555144 is a gapful number since it is divisible by the number (24) 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 213555144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301320000).

213555144 is an abundant number, since it is smaller than the sum of its proper divisors (389084856).

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

213555144 is a wasteful number, since it uses less digits than its factorization.

213555144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 315 counting only the distinct ones).

The product of its digits is 12000, while the sum is 30.

The square root of 213555144 is about 14613.5260632060. The cubic root of 213555144 is about 597.7276493463.

The spelling of 213555144 in words is "two hundred thirteen million, five hundred fifty-five thousand, one hundred forty-four".