232138656 has 192 divisors, whose sum is σ = 725760000. Its totient is φ = 71974656.

The previous prime is 232138651. The next prime is 232138721. The reversal of 232138656 is 656831232.

232138656 = 130³ + 131³ + ... + 186³.

It is a happy number.

232138656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 232138656.

It is not an unprimeable number, because it can be changed into a prime (232138651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1296775 + ... + 1296953.

It is an arithmetic number, because the mean of its divisors is an integer number (3780000).

Almost surely, 2^232138656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232138656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362880000).

232138656 is an abundant number, since it is smaller than the sum of its proper divisors (493621344).

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

232138656 is a wasteful number, since it uses less digits than its factorization.

232138656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 282 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 232138656 is about 15236.0971380469. The cubic root of 232138656 is about 614.5857531613.

Adding to 232138656 its reverse (656831232), we get a palindrome (888969888).

The spelling of 232138656 in words is "two hundred thirty-two million, one hundred thirty-eight thousand, six hundred fifty-six".