138513704 has 64 divisors (see below), whose sum is σ = 310871040. Its totient is φ = 56609280.

The previous prime is 138513691. The next prime is 138513709. The reversal of 138513704 is 407315831.

It is not an unprimeable number, because it can be changed into a prime (138513709) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126182 + ... + 127274.

It is an arithmetic number, because the mean of its divisors is an integer number (4857360).

Almost surely, 2^138513704 is an apocalyptic number.

138513704 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 138513704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155435520).

138513704 is an abundant number, since it is smaller than the sum of its proper divisors (172357336).

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

138513704 is a wasteful number, since it uses less digits than its factorization.

138513704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 138513704 is about 11769.1845087075. The cubic root of 138513704 is about 517.4053491312.

The spelling of 138513704 in words is "one hundred thirty-eight million, five hundred thirteen thousand, seven hundred four".