10365138 has 64 divisors (see below), whose sum is σ = 27889920. Its totient is φ = 2785536.

The previous prime is 10365133. The next prime is 10365149. The reversal of 10365138 is 83156301.

10365138 is a `hidden beast` number, since 1 + 0 + 3 + 651 + 3 + 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 not an unprimeable number, because it can be changed into a prime (10365133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5620 + ... + 7232.

It is an arithmetic number, because the mean of its divisors is an integer number (435780).

Almost surely, 2^10365138 is an apocalyptic number.

10365138 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 10365138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13944960).

10365138 is an abundant number, since it is smaller than the sum of its proper divisors (17524782).

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

10365138 is a wasteful number, since it uses less digits than its factorization.

10365138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 10365138 is about 3219.4934384154. The cubic root of 10365138 is about 218.0344052535.

The spelling of 10365138 in words is "ten million, three hundred sixty-five thousand, one hundred thirty-eight".