66138112 has 52 divisors (see below), whose sum is σ = 134791096. Its totient is φ = 32440320.

The previous prime is 66138077. The next prime is 66138119. The reversal of 66138112 is 21183166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66138119) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 274312 + ... + 274552.

Almost surely, 2^66138112 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 66138112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67395548).

66138112 is an abundant number, since it is smaller than the sum of its proper divisors (68652984).

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

66138112 is an equidigital number, since it uses as much as digits as its factorization.

66138112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 310 counting only the distinct ones).

The product of its digits is 1728, while the sum is 28.

The square root of 66138112 is about 8132.5341683881. The cubic root of 66138112 is about 404.4056964404.

The spelling of 66138112 in words is "sixty-six million, one hundred thirty-eight thousand, one hundred twelve".