123734016 has 216 divisors, whose sum is σ = 418746510. Its totient is φ = 35094528.

The previous prime is 123734011. The next prime is 123734027. The reversal of 123734016 is 610437321.

It can be written as a sum of positive squares in only one way, i.e., 101606400 + 22127616 = 10080^2 + 4704^2 .

It is not an unprimeable number, because it can be changed into a prime (123734011) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 903100 + ... + 903236.

Almost surely, 2^123734016 is an apocalyptic number.

123734016 is a gapful number since it is divisible by the number (16) 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 123734016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209373255).

123734016 is an abundant number, since it is smaller than the sum of its proper divisors (295012494).

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

123734016 is a wasteful number, since it uses less digits than its factorization.

123734016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 123734016 is about 11123.5792800699. The cubic root of 123734016 is about 498.3062905079.

It can be divided in two parts, 1237 and 34016, that added together give a palindrome (35253).

The spelling of 123734016 in words is "one hundred twenty-three million, seven hundred thirty-four thousand, sixteen".