138346704 has 140 divisors (see below), whose sum is σ = 416760900. Its totient is φ = 44416512.

The previous prime is 138346699. The next prime is 138346717. The reversal of 138346704 is 407643831.

It can be written as a sum of positive squares in 2 ways, for example, as 103063104 + 35283600 = 10152^2 + 5940^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 338052 + ... + 338460.

Almost surely, 2^138346704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138346704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208380450).

138346704 is an abundant number, since it is smaller than the sum of its proper divisors (278414196).

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

138346704 is an equidigital number, since it uses as much as digits as its factorization.

138346704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 138346704 is about 11762.0875698151. The cubic root of 138346704 is about 517.1973277353.

The spelling of 138346704 in words is "one hundred thirty-eight million, three hundred forty-six thousand, seven hundred four".