138682752 has 96 divisors (see below), whose sum is σ = 399079080. Its totient is φ = 42651648.

The previous prime is 138682751. The next prime is 138682763. The reversal of 138682752 is 257286831.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138682751) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63828 + ... + 65964.

Almost surely, 2^138682752 is an apocalyptic number.

138682752 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 138682752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199539540).

138682752 is an abundant number, since it is smaller than the sum of its proper divisors (260396328).

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

138682752 is a wasteful number, since it uses less digits than its factorization.

138682752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180 (or 2155 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 138682752 is about 11776.3641248052. The cubic root of 138682752 is about 517.6157513718.

The spelling of 138682752 in words is "one hundred thirty-eight million, six hundred eighty-two thousand, seven hundred fifty-two".