138361392 has 160 divisors (see below), whose sum is σ = 434972160. Its totient is φ = 41852160.

The previous prime is 138361387. The next prime is 138361393. The reversal of 138361392 is 293163831.

138361392 is a `hidden beast` number, since 1 + 38 + 3 + 613 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (138361393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 398563 + ... + 398909.

It is an arithmetic number, because the mean of its divisors is an integer number (2718576).

Almost surely, 2^138361392 is an apocalyptic number.

138361392 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 138361392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217486080).

138361392 is an abundant number, since it is smaller than the sum of its proper divisors (296610768).

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

138361392 is a wasteful number, since it uses less digits than its factorization.

138361392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 436 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 138361392 is about 11762.7119322034. The cubic root of 138361392 is about 517.2156303651.

The spelling of 138361392 in words is "one hundred thirty-eight million, three hundred sixty-one thousand, three hundred ninety-two".