138115968 has 64 divisors (see below), whose sum is σ = 376824720. Its totient is φ = 44789760.

The previous prime is 138115961. The next prime is 138115979. The reversal of 138115968 is 869511831.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138115961) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 9348 + ... + 19068.

Almost surely, 2^138115968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138115968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188412360).

138115968 is an abundant number, since it is smaller than the sum of its proper divisors (238708752).

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

138115968 is an equidigital number, since it uses as much as digits as its factorization.

138115968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9775 (or 9763 counting only the distinct ones).

The product of its digits is 51840, while the sum is 42.

The square root of 138115968 is about 11752.2750138005. The cubic root of 138115968 is about 516.9096388012.

The spelling of 138115968 in words is "one hundred thirty-eight million, one hundred fifteen thousand, nine hundred sixty-eight".