138686580 has 120 divisors (see below), whose sum is σ = 442743840. Its totient is φ = 36331200.

The previous prime is 138686563. The next prime is 138686593. The reversal of 138686580 is 85686831.

138686580 is a `hidden beast` number, since 1 + 3 + 8 + 68 + 6 + 580 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 94855 + ... + 96305.

It is an arithmetic number, because the mean of its divisors is an integer number (3689532).

Almost surely, 2^138686580 is an apocalyptic number.

138686580 is a gapful number since it is divisible by the number (10) 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 138686580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221371920).

138686580 is an abundant number, since it is smaller than the sum of its proper divisors (304057260).

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

138686580 is a wasteful number, since it uses less digits than its factorization.

138686580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 138686580 is about 11776.5266526256. The cubic root of 138686580 is about 517.6205138359.

It can be divided in two parts, 1386865 and 80, that added together give a triangular number (1386945 = T₁₆₆₅).

The spelling of 138686580 in words is "one hundred thirty-eight million, six hundred eighty-six thousand, five hundred eighty".