138684320 has 24 divisors (see below), whose sum is σ = 327642084. Its totient is φ = 55473664.

The previous prime is 138684313. The next prime is 138684323. The reversal of 138684320 is 23486831.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 125171344 + 13512976 = 11188^2 + 3676^2 .

It is a super-2 number, since 2×138684320² = 38466681227724800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (138684323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 433229 + ... + 433548.

Almost surely, 2^138684320 is an apocalyptic number.

138684320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138684320 is an abundant number, since it is smaller than the sum of its proper divisors (188957764).

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

138684320 is an equidigital number, since it uses as much as digits as its factorization.

138684320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866792 (or 866784 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 138684320 is about 11776.4306986455. The cubic root of 138684320 is about 517.6177021514.

The spelling of 138684320 in words is "one hundred thirty-eight million, six hundred eighty-four thousand, three hundred twenty".