138397392 has 240 divisors, whose sum is σ = 472096768. Its totient is φ = 37013760.

The previous prime is 138397381. The next prime is 138397393. The reversal of 138397392 is 293793831.

138397392 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×138397392² = 38307676224803328, which contains 22 as substring.

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

Its product of digits (244944) is a multiple of the sum of its prime divisors (189).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138397393) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1343613 + ... + 1343715.

Almost surely, 2^138397392 is an apocalyptic number.

138397392 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 138397392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236048384).

138397392 is an abundant number, since it is smaller than the sum of its proper divisors (333699376).

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

138397392 is a wasteful number, since it uses less digits than its factorization.

138397392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 189 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 138397392 is about 11764.2420920347. The cubic root of 138397392 is about 517.2604842746.

The spelling of 138397392 in words is "one hundred thirty-eight million, three hundred ninety-seven thousand, three hundred ninety-two".