10138392 has 128 divisors (see below), whose sum is σ = 32659200. Its totient is φ = 2880000.

The previous prime is 10138379. The next prime is 10138397. The reversal of 10138392 is 29383101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10138397) 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, 40267 + ... + 40517.

It is an arithmetic number, because the mean of its divisors is an integer number (255150).

Almost surely, 2^10138392 is an apocalyptic number.

10138392 is a gapful number since it is divisible by the number (12) 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 10138392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329600).

10138392 is an abundant number, since it is smaller than the sum of its proper divisors (22520808).

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

10138392 is a wasteful number, since it uses less digits than its factorization.

10138392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10138392 is about 3184.0841697417. The cubic root of 10138392 is about 216.4327742962.

It can be divided in two parts, 101383 and 92, that added together give a triangular number (101475 = T₄₅₀).

The spelling of 10138392 in words is "ten million, one hundred thirty-eight thousand, three hundred ninety-two".