243137664 has 192 divisors, whose sum is σ = 872614080. Its totient is φ = 63129600.

The previous prime is 243137663. The next prime is 243137771. The reversal of 243137664 is 466731342.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243137663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87334 + ... + 90074.

It is an arithmetic number, because the mean of its divisors is an integer number (4544865).

Almost surely, 2^243137664 is an apocalyptic number.

243137664 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 243137664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436307040).

243137664 is an abundant number, since it is smaller than the sum of its proper divisors (629476416).

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

243137664 is a wasteful number, since it uses less digits than its factorization.

243137664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2779 (or 2764 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 243137664 is about 15592.8722177795. The cubic root of 243137664 is about 624.1429652702.

The spelling of 243137664 in words is "two hundred forty-three million, one hundred thirty-seven thousand, six hundred sixty-four".