138717512704 has 99 divisors (see below), whose sum is σ = 282517890213. Its totient is φ = 68077535232.

The previous prime is 138717512701. The next prime is 138717512711. The reversal of 138717512704 is 407215717831.

The square root of 138717512704 is 372448.

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

It can be written as a sum of positive squares in only one way, i.e., 2444313600 + 136273199104 = 49440^2 + 369152^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138717512701) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1227588552 + ... + 1227588664.

Almost surely, 2^138717512704 is an apocalyptic number.

138717512704 is the 372448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138717512704

138717512704 is an abundant number, since it is smaller than the sum of its proper divisors (143800377509).

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

138717512704 is an frugal number, since it uses more digits than its factorization.

138717512704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 46.

The spelling of 138717512704 in words is "one hundred thirty-eight billion, seven hundred seventeen million, five hundred twelve thousand, seven hundred four".