138510684 has 144 divisors (see below), whose sum is σ = 408597280. Its totient is φ = 39191040.

The previous prime is 138510683. The next prime is 138510689. The reversal of 138510684 is 486015831.

138510684 is a `hidden beast` number, since 138 + 510 + 6 + 8 + 4 = 666.

138510684 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138510683) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 328794 + ... + 329214.

Almost surely, 2^138510684 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 138510684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204298640).

138510684 is an abundant number, since it is smaller than the sum of its proper divisors (270086596).

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

138510684 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 9 representation: 138510684 = (318561840)₉.

138510684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 138510684 is about 11769.0562068502. The cubic root of 138510684 is about 517.4015887921.

The spelling of 138510684 in words is "one hundred thirty-eight million, five hundred ten thousand, six hundred eighty-four".