138005568 has 84 divisors (see below), whose sum is σ = 397507968. Its totient is φ = 45776640.

The previous prime is 138005503. The next prime is 138005591. The reversal of 138005568 is 865500831.

138005568 is a `hidden beast` number, since 13 + 80 + 0 + 5 + 568 = 666.

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 11 ways as a sum of consecutive naturals, for example, 151033 + ... + 151943.

Almost surely, 2^138005568 is an apocalyptic number.

138005568 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 138005568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198753984).

138005568 is an abundant number, since it is smaller than the sum of its proper divisors (259502400).

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

138005568 is a wasteful number, since it uses less digits than its factorization.

138005568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 138005568 is about 11747.5771118984. The cubic root of 138005568 is about 516.7718752567.

The spelling of 138005568 in words is "one hundred thirty-eight million, five thousand, five hundred sixty-eight".