138391696 has 45 divisors (see below), whose sum is σ = 286490251. Its totient is φ = 64749056.

The previous prime is 138391681. The next prime is 138391703. The reversal of 138391696 is 696193831.

The square root of 138391696 is 11764.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 67831696 + 70560000 = 8236^2 + 8400^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 799866 + ... + 800038.

Almost surely, 2^138391696 is an apocalyptic number.

138391696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

138391696 is the 11764-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138391696

138391696 is an abundant number, since it is smaller than the sum of its proper divisors (148098555).

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

138391696 is an equidigital number, since it uses as much as digits as its factorization.

138391696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 192 counting only the distinct ones).

The product of its digits is 209952, while the sum is 46.

The cubic root of 138391696 is about 517.2533879074.

The spelling of 138391696 in words is "one hundred thirty-eight million, three hundred ninety-one thousand, six hundred ninety-six".