138293568 has 280 divisors, whose sum is σ = 485843072. Its totient is φ = 38071296.

The previous prime is 138293567. The next prime is 138293569. The reversal of 138293568 is 865392831.

It is a happy number.

138293568 is a `hidden beast` number, since 1 + 3 + 82 + 9 + 3 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (138293567) and next prime (138293569).

It is a super-2 number, since 2×138293568² = 38250221900341248, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138293563) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1342605 + ... + 1342707.

Almost surely, 2^138293568 is an apocalyptic number.

138293568 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 138293568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242921536).

138293568 is an abundant number, since it is smaller than the sum of its proper divisors (347549504).

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

138293568 is a wasteful number, since it uses less digits than its factorization.

138293568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 152 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 138293568 is about 11759.8285701791. The cubic root of 138293568 is about 517.1311044582.

The spelling of 138293568 in words is "one hundred thirty-eight million, two hundred ninety-three thousand, five hundred sixty-eight".