138707568 has 120 divisors (see below), whose sum is σ = 400420800. Its totient is φ = 44808192.

The previous prime is 138707563. The next prime is 138707579. The reversal of 138707568 is 865707831.

138707568 is a `hidden beast` number, since 1 + 3 + 87 + 0 + 7 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138707563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1012396 + ... + 1012532.

It is an arithmetic number, because the mean of its divisors is an integer number (3336840).

Almost surely, 2^138707568 is an apocalyptic number.

138707568 is a gapful number since it is divisible by the number (18) 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 138707568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200210400).

138707568 is an abundant number, since it is smaller than the sum of its proper divisors (261713232).

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

138707568 is a wasteful number, since it uses less digits than its factorization.

138707568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 138707568 is about 11777.4177135737. The cubic root of 138707568 is about 517.6466237195.

The spelling of 138707568 in words is "one hundred thirty-eight million, seven hundred seven thousand, five hundred sixty-eight".