138282124272964 has 81 divisors (see below), whose sum is σ = 299042000556663. Its totient is φ = 55776534675456.

The previous prime is 138282124272959. The next prime is 138282124272967. The reversal of 138282124272964 is 469272421282831.

The square root of 138282124272964 is 11759342.

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 4320203820100 + 133961920452864 = 2078510^2 + 11574192^2 .

It is not an unprimeable number, because it can be changed into a prime (138282124272967) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2798698692 + ... + 2798748100.

Almost surely, 2^{138282124272964} is an apocalyptic number.

138282124272964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

138282124272964 is the 11759342-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138282124272964

138282124272964 is an abundant number, since it is smaller than the sum of its proper divisors (160759876283699).

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

138282124272964 is an frugal number, since it uses more digits than its factorization.

138282124272964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98870 (or 49435 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 61.

The spelling of 138282124272964 in words is "one hundred thirty-eight trillion, two hundred eighty-two billion, one hundred twenty-four million, two hundred seventy-two thousand, nine hundred sixty-four".