12633138 has 64 divisors (see below), whose sum is σ = 33792000. Its totient is φ = 3417552.

The previous prime is 12633109. The next prime is 12633143. The reversal of 12633138 is 83133621.

It is a happy number.

12633138 is a `hidden beast` number, since 12 + 633 + 13 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

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, 6303 + ... + 8061.

It is an arithmetic number, because the mean of its divisors is an integer number (528000).

Almost surely, 2^12633138 is an apocalyptic number.

12633138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12633138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16896000).

12633138 is an abundant number, since it is smaller than the sum of its proper divisors (21158862).

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

12633138 is a wasteful number, since it uses less digits than its factorization.

12633138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1796 (or 1790 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 12633138 is about 3554.3125917679. The cubic root of 12633138 is about 232.9004959885.

Adding to 12633138 its reverse (83133621), we get a palindrome (95766759).

The spelling of 12633138 in words is "twelve million, six hundred thirty-three thousand, one hundred thirty-eight".