138370608324 has 243 divisors, whose sum is σ = 401327191629. Its totient is φ = 40174056000.

The previous prime is 138370608293. The next prime is 138370608353. The reversal of 138370608324 is 423806073831.

The square root of 138370608324 is 371982.

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

138370608324 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 7 + 0 + 608 + 32 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20469024900 + 117901583424 = 143070^2 + 343368^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 138370608324.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 551277199 + ... + 551277449.

Almost surely, 2^138370608324 is an apocalyptic number.

138370608324 is the 371982-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138370608324

138370608324 is an abundant number, since it is smaller than the sum of its proper divisors (262956583305).

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

138370608324 is a wasteful number, since it uses less digits than its factorization.

138370608324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 138370608324 in words is "one hundred thirty-eight billion, three hundred seventy million, six hundred eight thousand, three hundred twenty-four".