138634320 has 160 divisors (see below), whose sum is σ = 496575360. Its totient is φ = 31621120.

The previous prime is 138634313. The next prime is 138634333. The reversal of 138634320 is 23436831.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43336 + ... + 46424.

It is an arithmetic number, because the mean of its divisors is an integer number (3103596).

Almost surely, 2^138634320 is an apocalyptic number.

138634320 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 138634320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248287680).

138634320 is an abundant number, since it is smaller than the sum of its proper divisors (357941040).

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

138634320 is a wasteful number, since it uses less digits than its factorization.

138634320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3133 (or 3127 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 138634320 is about 11774.3076229560. The cubic root of 138634320 is about 517.5554889273. Note that the first 3 decimals are identical.

The spelling of 138634320 in words is "one hundred thirty-eight million, six hundred thirty-four thousand, three hundred twenty".