138094320 has 160 divisors (see below), whose sum is σ = 526966272. Its totient is φ = 29131776.

The previous prime is 138094267. The next prime is 138094357. The reversal of 138094320 is 23490831.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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, 18679 + ... + 25001.

Almost surely, 2^138094320 is an apocalyptic number.

138094320 is a gapful number since it is divisible by the number (10) 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 138094320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263483136).

138094320 is an abundant number, since it is smaller than the sum of its proper divisors (388871952).

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

138094320 is a wasteful number, since it uses less digits than its factorization.

138094320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6359 (or 6353 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 138094320 is about 11751.3539645438. The cubic root of 138094320 is about 516.8826309548.

The spelling of 138094320 in words is "one hundred thirty-eight million, ninety-four thousand, three hundred twenty".