138636288 has 198 divisors, whose sum is σ = 467182716. Its totient is φ = 39481344.

The previous prime is 138636263. The next prime is 138636301. The reversal of 138636288 is 882636831.

138636288 is a `hidden beast` number, since 1 + 3 + 8 + 636 + 2 + 8 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 451431 + ... + 451737.

Almost surely, 2^138636288 is an apocalyptic number.

138636288 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 138636288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233591358).

138636288 is an abundant number, since it is smaller than the sum of its proper divisors (328546428).

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

138636288 is a wasteful number, since it uses less digits than its factorization.

138636288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 319 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 138636288 is about 11774.3911944525. The cubic root of 138636288 is about 517.5579379226.

The spelling of 138636288 in words is "one hundred thirty-eight million, six hundred thirty-six thousand, two hundred eighty-eight".