138687164 has 48 divisors (see below), whose sum is σ = 313044480. Its totient is φ = 52167360.

The previous prime is 138687163. The next prime is 138687247. The reversal of 138687164 is 461786831.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138687163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1169 + ... + 16695.

It is an arithmetic number, because the mean of its divisors is an integer number (6521760).

Almost surely, 2^138687164 is an apocalyptic number.

138687164 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 138687164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156522240).

138687164 is an abundant number, since it is smaller than the sum of its proper divisors (174357316).

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

138687164 is a wasteful number, since it uses less digits than its factorization.

138687164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15578 (or 15576 counting only the distinct ones).

The product of its digits is 193536, while the sum is 44.

The square root of 138687164 is about 11776.5514476862. The cubic root of 138687164 is about 517.6212403901.

The spelling of 138687164 in words is "one hundred thirty-eight million, six hundred eighty-seven thousand, one hundred sixty-four".