138522384 has 360 divisors, whose sum is σ = 537840576. Its totient is φ = 32140800.

The previous prime is 138522379. The next prime is 138522401. The reversal of 138522384 is 483225831.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4468449 + ... + 4468479.

Almost surely, 2^138522384 is an apocalyptic number.

138522384 is a gapful number since it is divisible by the number (14) 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 138522384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268920288).

138522384 is an abundant number, since it is smaller than the sum of its proper divisors (399318192).

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

138522384 is a wasteful number, since it uses less digits than its factorization.

138522384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 67 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 138522384 is about 11769.5532625499. The cubic root of 138522384 is about 517.4161566891.

The spelling of 138522384 in words is "one hundred thirty-eight million, five hundred twenty-two thousand, three hundred eighty-four".