138726784 has 64 divisors (see below), whose sum is σ = 319023360. Its totient is φ = 58857984.

The previous prime is 138726761. The next prime is 138726793. The reversal of 138726784 is 487627831.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95149 + ... + 96595.

It is an arithmetic number, because the mean of its divisors is an integer number (4984740).

Almost surely, 2^138726784 is an apocalyptic number.

138726784 is a gapful number since it is divisible by the number (14) 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 138726784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159511680).

138726784 is an abundant number, since it is smaller than the sum of its proper divisors (180296576).

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

138726784 is a wasteful number, since it uses less digits than its factorization.

138726784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1563 counting only the distinct ones).

The product of its digits is 451584, while the sum is 46.

The square root of 138726784 is about 11778.2334838464. The cubic root of 138726784 is about 517.6705268570.

The spelling of 138726784 in words is "one hundred thirty-eight million, seven hundred twenty-six thousand, seven hundred eighty-four".