138517368 has 64 divisors (see below), whose sum is σ = 384220800. Its totient is φ = 41258880.

The previous prime is 138517367. The next prime is 138517373. The reversal of 138517368 is 863715831.

It is a super-2 number, since 2×138517368² = 38374122475294848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138517361) 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, 11130 + ... + 20022.

It is an arithmetic number, because the mean of its divisors is an integer number (6003450).

Almost surely, 2^138517368 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 138517368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192110400).

138517368 is an abundant number, since it is smaller than the sum of its proper divisors (245703432).

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

138517368 is a wasteful number, since it uses less digits than its factorization.

138517368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8972 (or 8968 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 138517368 is about 11769.3401684207. The cubic root of 138517368 is about 517.4099112706.

The spelling of 138517368 in words is "one hundred thirty-eight million, five hundred seventeen thousand, three hundred sixty-eight".