138968064 has 132 divisors (see below), whose sum is σ = 425350224. Its totient is φ = 43548672.

The previous prime is 138968051. The next prime is 138968077. The reversal of 138968064 is 460869831.

It is an interprime number because it is at equal distance from previous prime (138968051) and next prime (138968077).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156229 + ... + 157115.

Almost surely, 2^138968064 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 138968064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212675112).

138968064 is an abundant number, since it is smaller than the sum of its proper divisors (286382160).

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

138968064 is a wasteful number, since it uses less digits than its factorization.

138968064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 138968064 is about 11788.4716566653. The cubic root of 138968064 is about 517.9704718240.

The spelling of 138968064 in words is "one hundred thirty-eight million, nine hundred sixty-eight thousand, sixty-four".